56735600460 has 288 divisors, whose sum is σ = 206002384896. Its totient is φ = 11408601600.

The previous prime is 56735600447. The next prime is 56735600507. The reversal of 56735600460 is 6400653765.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1557414 + ... + 1593426.

Almost surely, 2^56735600460 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 56735600460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103001192448).

56735600460 is an abundant number, since it is smaller than the sum of its proper divisors (149266784436).

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

56735600460 is a wasteful number, since it uses less digits than its factorization.

56735600460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36085 (or 36072 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 56735600460 in words is "fifty-six billion, seven hundred thirty-five million, six hundred thousand, four hundred sixty".