57369432000 has 224 divisors, whose sum is σ = 189680721984. Its totient is φ = 15278592000.

The previous prime is 57369431909. The next prime is 57369432017. The reversal of 57369432000 is 23496375.

It is a self number, because there is not a number n which added to its sum of digits gives 57369432000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32951130 + ... + 32952870.

Almost surely, 2^57369432000 is an apocalyptic number.

57369432000 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 57369432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94840360992).

57369432000 is an abundant number, since it is smaller than the sum of its proper divisors (132311289984).

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

57369432000 is a wasteful number, since it uses less digits than its factorization.

57369432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 57369432000 in words is "fifty-seven billion, three hundred sixty-nine million, four hundred thirty-two thousand".