57650420459520 has 1152 divisors, whose sum is σ = 238237135718400. Its totient is φ = 13097672441856.

The previous prime is 57650420459501. The next prime is 57650420459531. The reversal of 57650420459520 is 2595402405675.

57650420459520 is a `hidden beast` number, since 5 + 7 + 6 + 5 + 0 + 4 + 20 + 4 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2908836171 + ... + 2908855989.

It is an arithmetic number, because the mean of its divisors is an integer number (206803069200).

Almost surely, 2^{57650420459520} 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 57650420459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119118567859200).

57650420459520 is an abundant number, since it is smaller than the sum of its proper divisors (180586715258880).

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

57650420459520 is a wasteful number, since it uses less digits than its factorization.

57650420459520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20035 (or 20003 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 57650420459520 in words is "fifty-seven trillion, six hundred fifty billion, four hundred twenty million, four hundred fifty-nine thousand, five hundred twenty".