5007775972320 has 1920 divisors, whose sum is σ = 20557072166400. Its totient is φ = 1136830464000.

The previous prime is 5007775972273. The next prime is 5007775972447. The reversal of 5007775972320 is 232795777005.

5007775972320 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 7 + 7 + 597 + 23 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 27976401991 + ... + 27976402169.

It is an arithmetic number, because the mean of its divisors is an integer number (10706808420).

Almost surely, 2^{5007775972320} 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 5007775972320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10278536083200).

5007775972320 is an abundant number, since it is smaller than the sum of its proper divisors (15549296194080).

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

5007775972320 is a wasteful number, since it uses less digits than its factorization.

5007775972320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 6482700, while the sum is 54.

The spelling of 5007775972320 in words is "five trillion, seven billion, seven hundred seventy-five million, nine hundred seventy-two thousand, three hundred twenty".