5160156758880 has 384 divisors, whose sum is σ = 16620368486400. Its totient is φ = 1345474934784.

The previous prime is 5160156758863. The next prime is 5160156758881. The reversal of 5160156758880 is 888576510615.

It is a super-3 number, since 3×5160156758880³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160156758881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2032356651 + ... + 2032359189.

It is an arithmetic number, because the mean of its divisors is an integer number (43282209600).

Almost surely, 2^{5160156758880} 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 5160156758880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310184243200).

5160156758880 is an abundant number, since it is smaller than the sum of its proper divisors (11460211727520).

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

5160156758880 is a wasteful number, since it uses less digits than its factorization.

5160156758880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 60.

The spelling of 5160156758880 in words is "five trillion, one hundred sixty billion, one hundred fifty-six million, seven hundred fifty-eight thousand, eight hundred eighty".