5172576902400 has 864 divisors, whose sum is σ = 18264799728000. Its totient is φ = 1285415239680.

The previous prime is 5172576902371. The next prime is 5172576902411. The reversal of 5172576902400 is 42096752715.

It is a super-2 number, since 2×5172576902400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5172576902400.

It is a congruent number.

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, 10162233346 + ... + 10162233854.

It is an arithmetic number, because the mean of its divisors is an integer number (21139814500).

Almost surely, 2^{5172576902400} is an apocalyptic number.

5172576902400 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 5172576902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132399864000).

5172576902400 is an abundant number, since it is smaller than the sum of its proper divisors (13092222825600).

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

5172576902400 is a wasteful number, since it uses less digits than its factorization.

5172576902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 5172576902400 in words is "five trillion, one hundred seventy-two billion, five hundred seventy-six million, nine hundred two thousand, four hundred".