61781095353600 has 3456 divisors, whose sum is σ = 275649823948800. Its totient is φ = 13243436236800.

The previous prime is 61781095353491. The next prime is 61781095353617. The reversal of 61781095353600 is 635359018716.

61781095353600 is a `hidden beast` number, since 6 + 1 + 7 + 8 + 10 + 95 + 3 + 536 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 227974521465 + ... + 227974521735.

Almost surely, 2^{61781095353600} is an apocalyptic number.

61781095353600 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 61781095353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137824911974400).

61781095353600 is an abundant number, since it is smaller than the sum of its proper divisors (213868728595200).

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

61781095353600 is a wasteful number, since it uses less digits than its factorization.

61781095353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 61781095353600 in words is "sixty-one trillion, seven hundred eighty-one billion, ninety-five million, three hundred fifty-three thousand, six hundred".