61561644883200 has 6048 divisors, whose sum is σ = 311157184665600. Its totient is φ = 11663253504000.

The previous prime is 61561644883199. The next prime is 61561644883201. The reversal of 61561644883200 is 238844616516.

61561644883200 is a `hidden beast` number, since 6 + 1 + 561 + 6 + 4 + 48 + 8 + 32 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61561644883199) and next prime (61561644883201).

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×61561644883200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61561644883201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 197947411045 + ... + 197947411355.

It is an arithmetic number, because the mean of its divisors is an integer number (51447947200).

Almost surely, 2^{61561644883200} is an apocalyptic number.

61561644883200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61561644883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155578592332800).

61561644883200 is an abundant number, since it is smaller than the sum of its proper divisors (249595539782400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61561644883200 is a wasteful number, since it uses less digits than its factorization.

61561644883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 61561644883200 in words is "sixty-one trillion, five hundred sixty-one billion, six hundred forty-four million, eight hundred eighty-three thousand, two hundred".