57355878384 has 200 divisors, whose sum is σ = 191600959968. Its totient is φ = 16224883200.

The previous prime is 57355878373. The next prime is 57355878401. The reversal of 57355878384 is 48387855375.

57355878384 is a `hidden beast` number, since 5 + 7 + 3 + 558 + 78 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 884974 + ... + 947570.

Almost surely, 2^57355878384 is an apocalyptic number.

57355878384 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 57355878384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800479984).

57355878384 is an abundant number, since it is smaller than the sum of its proper divisors (134245081584).

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

57355878384 is a wasteful number, since it uses less digits than its factorization.

57355878384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62725 (or 62710 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 57355878384 in words is "fifty-seven billion, three hundred fifty-five million, eight hundred seventy-eight thousand, three hundred eighty-four".