57899677440 has 576 divisors, whose sum is σ = 214168292352. Its totient is φ = 13192396800.

The previous prime is 57899677403. The next prime is 57899677441. The reversal of 57899677440 is 4477699875.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57899677441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59262232 + ... + 59263208.

It is an arithmetic number, because the mean of its divisors is an integer number (371819952).

Almost surely, 2^57899677440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57899677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107084146176).

57899677440 is an abundant number, since it is smaller than the sum of its proper divisors (156268614912).

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

57899677440 is a wasteful number, since it uses less digits than its factorization.

57899677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 57899677440 in words is "fifty-seven billion, eight hundred ninety-nine million, six hundred seventy-seven thousand, four hundred forty".