57488793600 has 336 divisors, whose sum is σ = 217255880448. Its totient is φ = 13139312640.

The previous prime is 57488793599. The next prime is 57488793617. The reversal of 57488793600 is 639788475.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×57488793600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4294117 + ... + 4307483.

Almost surely, 2^57488793600 is an apocalyptic number.

57488793600 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 57488793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108627940224).

57488793600 is an abundant number, since it is smaller than the sum of its proper divisors (159767086848).

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

57488793600 is a wasteful number, since it uses less digits than its factorization.

57488793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13413 (or 13384 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 57488793600 in words is "fifty-seven billion, four hundred eighty-eight million, seven hundred ninety-three thousand, six hundred".