57189492000 has 144 divisors (see below), whose sum is σ = 202965634872. Its totient is φ = 15250521600.

The previous prime is 57189491981. The next prime is 57189492011. The reversal of 57189492000 is 29498175.

It can be written as a sum of positive squares in 4 ways, for example, as 4110861456 + 53078630544 = 64116^2 + 230388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 758299 + ... + 830298.

Almost surely, 2^57189492000 is an apocalyptic number.

57189492000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57189492000 is an abundant number, since it is smaller than the sum of its proper divisors (145776142872).

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

57189492000 is a wasteful number, since it uses less digits than its factorization.

57189492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588628 (or 1588607 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 57189492000 in words is "fifty-seven billion, one hundred eighty-nine million, four hundred ninety-two thousand".