5160709502400 has 672 divisors, whose sum is σ = 19381182024960. Its totient is φ = 1193889300480.

The previous prime is 5160709502357. The next prime is 5160709502423. The reversal of 5160709502400 is 42059070615.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57319819 + ... + 57409781.

It is an arithmetic number, because the mean of its divisors is an integer number (28841044680).

Almost surely, 2^{5160709502400} is an apocalyptic number.

5160709502400 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 5160709502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9690591012480).

5160709502400 is an abundant number, since it is smaller than the sum of its proper divisors (14220472522560).

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

5160709502400 is a wasteful number, since it uses less digits than its factorization.

5160709502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90061 (or 90046 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 5160709502400 in words is "five trillion, one hundred sixty billion, seven hundred nine million, five hundred two thousand, four hundred".