5116957028352 has 1040 divisors, whose sum is σ = 18352362742560. Its totient is φ = 1403460255744.

The previous prime is 5116957028329. The next prime is 5116957028429. The reversal of 5116957028352 is 2538207596115.

5116957028352 is a `hidden beast` number, since 5 + 1 + 1 + 69 + 570 + 2 + 8 + 3 + 5 + 2 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1393125588 + ... + 1393129260.

Almost surely, 2^{5116957028352} is an apocalyptic number.

5116957028352 is a gapful number since it is divisible by the number (52) 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 5116957028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176181371280).

5116957028352 is an abundant number, since it is smaller than the sum of its proper divisors (13235405714208).

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

5116957028352 is a wasteful number, since it uses less digits than its factorization.

5116957028352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 5116957028352 in words is "five trillion, one hundred sixteen billion, nine hundred fifty-seven million, twenty-eight thousand, three hundred fifty-two".