57132117504 has 400 divisors, whose sum is σ = 212613641856. Its totient is φ = 14838681600.

The previous prime is 57132117491. The next prime is 57132117517. The reversal of 57132117504 is 40571123175.

57132117504 is a `hidden beast` number, since 5 + 7 + 1 + 32 + 117 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (57132117491) and next prime (57132117517).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3184399 + ... + 3202289.

Almost surely, 2^57132117504 is an apocalyptic number.

57132117504 is a gapful number since it is divisible by the number (54) 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 57132117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106306820928).

57132117504 is an abundant number, since it is smaller than the sum of its proper divisors (155481524352).

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

57132117504 is a wasteful number, since it uses less digits than its factorization.

57132117504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17939 (or 17914 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 57132117504 in words is "fifty-seven billion, one hundred thirty-two million, one hundred seventeen thousand, five hundred four".