5957901600 has 576 divisors, whose sum is σ = 24514430976. Its totient is φ = 1224622080.

The previous prime is 5957901589. The next prime is 5957901613. The reversal of 5957901600 is 61097595.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6568347 + ... + 6569253.

It is an arithmetic number, because the mean of its divisors is an integer number (42559776).

Almost surely, 2^5957901600 is an apocalyptic number.

5957901600 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 5957901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257215488).

5957901600 is an abundant number, since it is smaller than the sum of its proper divisors (18556529376).

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

5957901600 is a wasteful number, since it uses less digits than its factorization.

5957901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 5957901600 is about 77187.4445748789. Note that the first 3 decimals coincide. The cubic root of 5957901600 is about 1812.8607326396.

The spelling of 5957901600 in words is "five billion, nine hundred fifty-seven million, nine hundred one thousand, six hundred".