57253648536 has 192 divisors, whose sum is σ = 180008524800. Its totient is φ = 16100985600.

The previous prime is 57253648523. The next prime is 57253648601. The reversal of 57253648536 is 63584635275.

57253648536 is a `hidden beast` number, since 5 + 72 + 5 + 36 + 4 + 8 + 536 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32884626 + ... + 32886366.

It is an arithmetic number, because the mean of its divisors is an integer number (937544400).

Almost surely, 2^57253648536 is an apocalyptic number.

57253648536 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 57253648536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90004262400).

57253648536 is an abundant number, since it is smaller than the sum of its proper divisors (122754876264).

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

57253648536 is a wasteful number, since it uses less digits than its factorization.

57253648536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2743 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 57253648536 in words is "fifty-seven billion, two hundred fifty-three million, six hundred forty-eight thousand, five hundred thirty-six".