61560405600 has 144 divisors (see below), whose sum is σ = 201609721152. Its totient is φ = 16315292160.

The previous prime is 61560405589. The next prime is 61560405607. The reversal of 61560405600 is 650406516.

It is a super-2 number, since 2×61560405600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61560405607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312519 + ... + 469881.

It is an arithmetic number, because the mean of its divisors is an integer number (1400067508).

Almost surely, 2^61560405600 is an apocalyptic number.

61560405600 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 61560405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100804860576).

61560405600 is an abundant number, since it is smaller than the sum of its proper divisors (140049315552).

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

61560405600 is a wasteful number, since it uses less digits than its factorization.

61560405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157549 (or 157536 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 61560405600 in words is "sixty-one billion, five hundred sixty million, four hundred five thousand, six hundred".