57262842000 has 1280 divisors, whose sum is σ = 259290071040. Its totient is φ = 11757312000.

The previous prime is 57262841941. The next prime is 57262842017. The reversal of 57262842000 is 24826275.

57262842000 is a `hidden beast` number, since 5 + 7 + 2 + 628 + 4 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 211301865 + ... + 211302135.

It is an arithmetic number, because the mean of its divisors is an integer number (202570368).

Almost surely, 2^57262842000 is an apocalyptic number.

57262842000 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 57262842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129645035520).

57262842000 is an abundant number, since it is smaller than the sum of its proper divisors (202027229040).

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

57262842000 is a wasteful number, since it uses less digits than its factorization.

57262842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 57262842000 in words is "fifty-seven billion, two hundred sixty-two million, eight hundred forty-two thousand".