57938987347200 has 1296 divisors, whose sum is σ = 221640580761600. Its totient is φ = 14404791582720.

The previous prime is 57938987347193. The next prime is 57938987347201. The reversal of 57938987347200 is 274378983975.

57938987347200 is a `hidden beast` number, since 5 + 7 + 9 + 3 + 89 + 8 + 73 + 472 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57938987347201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41414572101 + ... + 41414573499.

Almost surely, 2^{57938987347200} is an apocalyptic number.

57938987347200 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 57938987347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110820290380800).

57938987347200 is an abundant number, since it is smaller than the sum of its proper divisors (163701593414400).

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

57938987347200 is a wasteful number, since it uses less digits than its factorization.

57938987347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 57938987347200 in words is "fifty-seven trillion, nine hundred thirty-eight billion, nine hundred eighty-seven million, three hundred forty-seven thousand, two hundred".