5165596800 has 1152 divisors, whose sum is σ = 23848056960. Its totient is φ = 1074954240.

The previous prime is 5165596769. The next prime is 5165596811. The reversal of 5165596800 is 86955615.

It is a happy number.

5165596800 is a `hidden beast` number, since 5 + 16 + 559 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70761564 + ... + 70761636.

Almost surely, 2^5165596800 is an apocalyptic number.

5165596800 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 5165596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924028480).

5165596800 is an abundant number, since it is smaller than the sum of its proper divisors (18682460160).

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

5165596800 is a wasteful number, since it uses less digits than its factorization.

5165596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5165596800 is about 71872.0863757273. The cubic root of 5165596800 is about 1728.6490617281.

The spelling of 5165596800 in words is "five billion, one hundred sixty-five million, five hundred ninety-six thousand, eight hundred".