5120964000 has 288 divisors, whose sum is σ = 18490006080. Its totient is φ = 1341888000.

The previous prime is 5120963987. The next prime is 5120964011. The reversal of 5120964000 is 4690215.

5120964000 is a `hidden beast` number, since 5 + 12 + 0 + 9 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2122795 + ... + 2125205.

It is an arithmetic number, because the mean of its divisors is an integer number (64201410).

Almost surely, 2^5120964000 is an apocalyptic number.

5120964000 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 5120964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9245003040).

5120964000 is an abundant number, since it is smaller than the sum of its proper divisors (13369042080).

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

5120964000 is a wasteful number, since it uses less digits than its factorization.

5120964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5120964000 is about 71560.9111177324. The cubic root of 5120964000 is about 1723.6559158124.

The spelling of 5120964000 in words is "five billion, one hundred twenty million, nine hundred sixty-four thousand".