57381534000 has 960 divisors, whose sum is σ = 241316554752. Its totient is φ = 12908160000.

The previous prime is 57381533999. The next prime is 57381534011. The reversal of 57381534000 is 43518375.

57381534000 is a `hidden beast` number, since 573 + 81 + 5 + 3 + 4 + 0 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 343601917 + ... + 343602083.

Almost surely, 2^57381534000 is an apocalyptic number.

57381534000 is a gapful number since it is divisible by the number (50) 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 57381534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120658277376).

57381534000 is an abundant number, since it is smaller than the sum of its proper divisors (183935020752).

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

57381534000 is a wasteful number, since it uses less digits than its factorization.

57381534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 57381534000 in words is "fifty-seven billion, three hundred eighty-one million, five hundred thirty-four thousand".