5088607215120 has 480 divisors, whose sum is σ = 20100483486720. Its totient is φ = 1137369968640.

The previous prime is 5088607215079. The next prime is 5088607215127. The reversal of 5088607215120 is 215127068805.

5088607215120 is a `hidden beast` number, since 5 + 0 + 8 + 8 + 60 + 72 + 1 + 512 + 0 = 666.

It is a super-2 number, since 2×5088607215120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5088607215127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88825846 + ... + 88883114.

It is an arithmetic number, because the mean of its divisors is an integer number (41876007264).

Almost surely, 2^{5088607215120} 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 5088607215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10050241743360).

5088607215120 is an abundant number, since it is smaller than the sum of its proper divisors (15011876271600).

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

5088607215120 is a wasteful number, since it uses less digits than its factorization.

5088607215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58175 (or 58166 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 5088607215120 in words is "five trillion, eighty-eight billion, six hundred seven million, two hundred fifteen thousand, one hundred twenty".