57258121536 has 1344 divisors, whose sum is σ = 233501184000. Its totient is φ = 13412044800.

The previous prime is 57258121523. The next prime is 57258121603. The reversal of 57258121536 is 63512185275.

57258121536 is a `hidden beast` number, since 57 + 2 + 58 + 12 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 57258121491 and 57258121500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 806452381 + ... + 806452451.

It is an arithmetic number, because the mean of its divisors is an integer number (173736000).

Almost surely, 2^57258121536 is an apocalyptic number.

57258121536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57258121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116750592000).

57258121536 is an abundant number, since it is smaller than the sum of its proper divisors (176243062464).

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

57258121536 is a wasteful number, since it uses less digits than its factorization.

57258121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 57258121536 in words is "fifty-seven billion, two hundred fifty-eight million, one hundred twenty-one thousand, five hundred thirty-six".