57999900 has 144 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 13036800.

The previous prime is 57999899. The next prime is 57999901. The reversal of 57999900 is 999975.

It is an interprime number because it is at equal distance from previous prime (57999899) and next prime (57999901).

It is a self number, because there is not a number n which added to its sum of digits gives 57999900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57999901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 148906 + ... + 149294.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^57999900 is an apocalyptic number.

57999900 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 57999900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

57999900 is an abundant number, since it is smaller than the sum of its proper divisors (136987620).

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

57999900 is a wasteful number, since it uses less digits than its factorization.

57999900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 229635, while the sum is 48.

The square root of 57999900 is about 7615.7665405394. The cubic root of 57999900 is about 387.0874415985.

The spelling of 57999900 in words is "fifty-seven million, nine hundred ninety-nine thousand, nine hundred".