5157996664320 has 240 divisors, whose sum is σ = 17867705478480. Its totient is φ = 1375149146112.

The previous prime is 5157996664307. The next prime is 5157996664339. The reversal of 5157996664320 is 234666997515.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5157996664320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110315187 + ... + 110361933.

It is an arithmetic number, because the mean of its divisors is an integer number (74448772827).

Almost surely, 2^{5157996664320} 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 5157996664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8933852739240).

5157996664320 is an abundant number, since it is smaller than the sum of its proper divisors (12709708814160).

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

5157996664320 is a wasteful number, since it uses less digits than its factorization.

5157996664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51565 (or 51546 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 5157996664320 in words is "five trillion, one hundred fifty-seven billion, nine hundred ninety-six million, six hundred sixty-four thousand, three hundred twenty".