57036673501056 has 576 divisors, whose sum is σ = 176723369222400. Its totient is φ = 18310419671040.

The previous prime is 57036673501051. The next prime is 57036673501109. The reversal of 57036673501056 is 65010537663075.

57036673501056 is a `hidden beast` number, since 5 + 7 + 0 + 3 + 66 + 73 + 501 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 57036673500993 and 57036673501011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57036673501051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11274295455 + ... + 11274300513.

It is an arithmetic number, because the mean of its divisors is an integer number (306811404900).

Almost surely, 2^{57036673501056} 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 57036673501056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88361684611200).

57036673501056 is an abundant number, since it is smaller than the sum of its proper divisors (119686695721344).

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

57036673501056 is an equidigital number, since it uses as much as digits as its factorization.

57036673501056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 57036673501056 in words is "fifty-seven trillion, thirty-six billion, six hundred seventy-three million, five hundred one thousand, fifty-six".