5175398970456 has 384 divisors, whose sum is σ = 16099392556800. Its totient is φ = 1365190364160.

The previous prime is 5175398970433. The next prime is 5175398970473. The reversal of 5175398970456 is 6540798935715.

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, 184013211 + ... + 184041333.

It is an arithmetic number, because the mean of its divisors is an integer number (41925501450).

Almost surely, 2^{5175398970456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5175398970456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8049696278400).

5175398970456 is an abundant number, since it is smaller than the sum of its proper divisors (10923993586344).

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

5175398970456 is a wasteful number, since it uses less digits than its factorization.

5175398970456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28271 (or 28224 counting only the distinct ones).

The product of its (nonzero) digits is 285768000, while the sum is 69.

The spelling of 5175398970456 in words is "five trillion, one hundred seventy-five billion, three hundred ninety-eight million, nine hundred seventy thousand, four hundred fifty-six".