5160808400400 has 360 divisors, whose sum is σ = 18364213178376. Its totient is φ = 1341668966400.

The previous prime is 5160808400399. The next prime is 5160808400483. The reversal of 5160808400400 is 40048080615.

5160808400400 is a `hidden beast` number, since 5 + 1 + 608 + 0 + 8 + 4 + 0 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3893265674496 + 1267542725904 = 1973136^2 + 1125852^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24710814 + ... + 24918786.

Almost surely, 2^{5160808400400} is an apocalyptic number.

5160808400400 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 5160808400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9182106589188).

5160808400400 is an abundant number, since it is smaller than the sum of its proper divisors (13203404777976).

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

5160808400400 is a wasteful number, since it uses less digits than its factorization.

5160808400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208171 (or 208157 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 5160808400400 in words is "five trillion, one hundred sixty billion, eight hundred eight million, four hundred thousand, four hundred".