5175921794400 has 288 divisors, whose sum is σ = 21393810708480. Its totient is φ = 1183067804160.

The previous prime is 5175921794359. The next prime is 5175921794489. The reversal of 5175921794400 is 44971295715.

5175921794400 is a `hidden beast` number, since 5 + 1 + 7 + 592 + 1 + 7 + 9 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16964944 + ... + 17267343.

It is an arithmetic number, because the mean of its divisors is an integer number (74284064960).

Almost surely, 2^{5175921794400} is an apocalyptic number.

5175921794400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5175921794400 is an abundant number, since it is smaller than the sum of its proper divisors (16217888914080).

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

5175921794400 is a wasteful number, since it uses less digits than its factorization.

5175921794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34232323 (or 34232304 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 5175921794400 in words is "five trillion, one hundred seventy-five billion, nine hundred twenty-one million, seven hundred ninety-four thousand, four hundred".