5395807872 has 960 divisors, whose sum is σ = 21667615200. Its totient is φ = 1316818944.

The previous prime is 5395807867. The next prime is 5395807919. The reversal of 5395807872 is 2787085935.

5395807872 is a `hidden beast` number, since 53 + 9 + 580 + 7 + 8 + 7 + 2 = 666.

It is a super-2 number, since 2×5395807872² = 58229485183074336768, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 125483883 + ... + 125483925.

Almost surely, 2^5395807872 is an apocalyptic number.

5395807872 is a gapful number since it is divisible by the number (52) 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 5395807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10833807600).

5395807872 is an abundant number, since it is smaller than the sum of its proper divisors (16271807328).

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

5395807872 is a wasteful number, since it uses less digits than its factorization.

5395807872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The square root of 5395807872 is about 73456.1629272861. The cubic root of 5395807872 is about 1753.9565307052.

The spelling of 5395807872 in words is "five billion, three hundred ninety-five million, eight hundred seven thousand, eight hundred seventy-two".