5030976756960 has 1920 divisors, whose sum is σ = 22783232102400. Its totient is φ = 1036385280000.

The previous prime is 5030976756931. The next prime is 5030976757003. The reversal of 5030976756960 is 696576790305.

5030976756960 is a `hidden beast` number, since 5 + 0 + 3 + 0 + 9 + 7 + 6 + 7 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6699036585 + ... + 6699037335.

It is an arithmetic number, because the mean of its divisors is an integer number (11866266720).

Almost surely, 2^{5030976756960} 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 5030976756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11391616051200).

5030976756960 is an abundant number, since it is smaller than the sum of its proper divisors (17752255345440).

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

5030976756960 is a wasteful number, since it uses less digits than its factorization.

5030976756960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 5030976756960 in words is "five trillion, thirty billion, nine hundred seventy-six million, seven hundred fifty-six thousand, nine hundred sixty".