56497029120 has 960 divisors, whose sum is σ = 237809779200. Its totient is φ = 12457082880.

The previous prime is 56497029107. The next prime is 56497029137. The reversal of 56497029120 is 2192079465.

56497029120 is a `hidden beast` number, since 56 + 497 + 0 + 2 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×56497029120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 634798036 + ... + 634798124.

It is an arithmetic number, because the mean of its divisors is an integer number (247718520).

Almost surely, 2^56497029120 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 56497029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118904889600).

56497029120 is an abundant number, since it is smaller than the sum of its proper divisors (181312750080).

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

56497029120 is an equidigital number, since it uses as much as digits as its factorization.

56497029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 56497029120 in words is "fifty-six billion, four hundred ninety-seven million, twenty-nine thousand, one hundred twenty".