57493632000 has 704 divisors, whose sum is σ = 222316383744. Its totient is φ = 12917145600.

The previous prime is 57493631953. The next prime is 57493632011. The reversal of 57493632000 is 23639475.

It is a self number, because there is not a number n which added to its sum of digits gives 57493632000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196223854 + ... + 196224146.

Almost surely, 2^57493632000 is an apocalyptic number.

57493632000 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 57493632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111158191872).

57493632000 is an abundant number, since it is smaller than the sum of its proper divisors (164822751744).

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

57493632000 is a wasteful number, since it uses less digits than its factorization.

57493632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 383 counting only the distinct ones).

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

The spelling of 57493632000 in words is "fifty-seven billion, four hundred ninety-three million, six hundred thirty-two thousand".