57754869900 has 576 divisors, whose sum is σ = 218386022400. Its totient is φ = 11450926080.

The previous prime is 57754869881. The next prime is 57754869901. The reversal of 57754869900 is 996845775.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (57754869901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37045321 + ... + 37046879.

It is an arithmetic number, because the mean of its divisors is an integer number (379142400).

Almost surely, 2^57754869900 is an apocalyptic number.

57754869900 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 57754869900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109193011200).

57754869900 is an abundant number, since it is smaller than the sum of its proper divisors (160631152500).

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

57754869900 is a wasteful number, since it uses less digits than its factorization.

57754869900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 57754869900 in words is "fifty-seven billion, seven hundred fifty-four million, eight hundred sixty-nine thousand, nine hundred".