61057400832 has 324 divisors, whose sum is σ = 185741946936. Its totient is φ = 20065812480.

The previous prime is 61057400819. The next prime is 61057400861. The reversal of 61057400832 is 23800475016.

61057400832 is a `hidden beast` number, since 6 + 1 + 0 + 574 + 0 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 859963357 + ... + 859963427.

It is an arithmetic number, because the mean of its divisors is an integer number (573277614).

Almost surely, 2^61057400832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61057400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92870973468).

61057400832 is an abundant number, since it is smaller than the sum of its proper divisors (124684546104).

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

61057400832 is an frugal number, since it uses more digits than its factorization.

61057400832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 61057400832 its reverse (23800475016), we get a palindrome (84857875848).

The spelling of 61057400832 in words is "sixty-one billion, fifty-seven million, four hundred thousand, eight hundred thirty-two".