57525634824 has 256 divisors, whose sum is σ = 179152404480. Its totient is φ = 15017287680.

The previous prime is 57525634799. The next prime is 57525634853. The reversal of 57525634824 is 42843652575.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26111307 + ... + 26113509.

It is an arithmetic number, because the mean of its divisors is an integer number (699814080).

Almost surely, 2^57525634824 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 57525634824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89576202240).

57525634824 is an abundant number, since it is smaller than the sum of its proper divisors (121626769656).

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

57525634824 is a wasteful number, since it uses less digits than its factorization.

57525634824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2496 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 51.

The spelling of 57525634824 in words is "fifty-seven billion, five hundred twenty-five million, six hundred thirty-four thousand, eight hundred twenty-four".