56982901248 has 720 divisors, whose sum is σ = 213950056320. Its totient is φ = 15007555584.

The previous prime is 56982901247. The next prime is 56982901289. The reversal of 56982901248 is 84210928965.

It is a happy number.

56982901248 is a `hidden beast` number, since 569 + 8 + 29 + 0 + 12 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56982901194 and 56982901203.

It is not an unprimeable number, because it can be changed into a prime (56982901247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79252633 + ... + 79253351.

It is an arithmetic number, because the mean of its divisors is an integer number (297152856).

Almost surely, 2^56982901248 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 56982901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106975028160).

56982901248 is an abundant number, since it is smaller than the sum of its proper divisors (156967155072).

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

56982901248 is an equidigital number, since it uses as much as digits as its factorization.

56982901248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 56982901248 in words is "fifty-six billion, nine hundred eighty-two million, nine hundred one thousand, two hundred forty-eight".