57877848000 has 896 divisors, whose sum is σ = 245732198400. Its totient is φ = 13063680000.

The previous prime is 57877847999. The next prime is 57877848001. The reversal of 57877848000 is 84877875.

It is an interprime number because it is at equal distance from previous prime (57877847999) and next prime (57877848001).

It is a super-2 number, since 2×57877848000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57877848001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152711811 + ... + 152712189.

Almost surely, 2^57877848000 is an apocalyptic number.

57877848000 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 57877848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122866099200).

57877848000 is an abundant number, since it is smaller than the sum of its proper divisors (187854350400).

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

57877848000 is a wasteful number, since it uses less digits than its factorization.

57877848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 54.

The spelling of 57877848000 in words is "fifty-seven billion, eight hundred seventy-seven million, eight hundred forty-eight thousand".