57250983202560 has 4032 divisors, whose sum is σ = 266838518661120. Its totient is φ = 11457937244160.

The previous prime is 57250983202549. The next prime is 57250983202577. The reversal of 57250983202560 is 6520238905275.

It is a happy number.

57250983202560 is a `hidden beast` number, since 5 + 7 + 2 + 50 + 9 + 8 + 3 + 20 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 = 57250983202497 and 57250983202506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 88486836157 + ... + 88486836803.

It is an arithmetic number, because the mean of its divisors is an integer number (66180188160).

Almost surely, 2^{57250983202560} 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 57250983202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133419259330560).

57250983202560 is an abundant number, since it is smaller than the sum of its proper divisors (209587535458560).

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

57250983202560 is a wasteful number, since it uses less digits than its factorization.

57250983202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 57250983202560 in words is "fifty-seven trillion, two hundred fifty billion, nine hundred eighty-three million, two hundred two thousand, five hundred sixty".