57988224000 has 1760 divisors, whose sum is σ = 267073956864. Its totient is φ = 12209356800.

The previous prime is 57988223963. The next prime is 57988224011. The reversal of 57988224000 is 42288975.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1233791977 + ... + 1233792023.

Almost surely, 2^57988224000 is an apocalyptic number.

57988224000 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 57988224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133536978432).

57988224000 is an abundant number, since it is smaller than the sum of its proper divisors (209085732864).

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

57988224000 is a wasteful number, since it uses less digits than its factorization.

57988224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 81 counting only the distinct ones).

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

The spelling of 57988224000 in words is "fifty-seven billion, nine hundred eighty-eight million, two hundred twenty-four thousand".