5128907616000 has 1296 divisors, whose sum is σ = 22732327931040. Its totient is φ = 1103310028800.

The previous prime is 5128907615933. The next prime is 5128907616011. The reversal of 5128907616000 is 6167098215.

5128907616000 is a `hidden beast` number, since 5 + 1 + 28 + 9 + 0 + 7 + 616 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239893311 + ... + 239914689.

It is an arithmetic number, because the mean of its divisors is an integer number (17540376490).

Almost surely, 2^{5128907616000} is an apocalyptic number.

5128907616000 is a gapful number since it is divisible by the number (50) 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 5128907616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366163965520).

5128907616000 is an abundant number, since it is smaller than the sum of its proper divisors (17603420315040).

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

5128907616000 is a wasteful number, since it uses less digits than its factorization.

5128907616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21447 (or 21413 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 5128907616000 in words is "five trillion, one hundred twenty-eight billion, nine hundred seven million, six hundred sixteen thousand".