57094884000 has 1152 divisors, whose sum is σ = 259044065280. Its totient is φ = 11563776000.

The previous prime is 57094883999. The next prime is 57094884019. The reversal of 57094884000 is 48849075.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 119195761 + ... + 119196239.

It is an arithmetic number, because the mean of its divisors is an integer number (224864640).

Almost surely, 2^57094884000 is an apocalyptic number.

57094884000 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 57094884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129522032640).

57094884000 is an abundant number, since it is smaller than the sum of its proper divisors (201949181280).

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

57094884000 is a wasteful number, since it uses less digits than its factorization.

57094884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 57094884000 in words is "fifty-seven billion, ninety-four million, eight hundred eighty-four thousand".