5016598272 has 720 divisors, whose sum is σ = 19231914240. Its totient is φ = 1266057216.

The previous prime is 5016598261. The next prime is 5016598283. The reversal of 5016598272 is 2728956105.

5016598272 is a `hidden beast` number, since 50 + 1 + 6 + 598 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5016598261) and next prime (5016598283).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46884043 + ... + 46884149.

It is an arithmetic number, because the mean of its divisors is an integer number (26710992).

Almost surely, 2^5016598272 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 5016598272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615957120).

5016598272 is an abundant number, since it is smaller than the sum of its proper divisors (14215315968).

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

5016598272 is a wasteful number, since it uses less digits than its factorization.

5016598272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5016598272 is about 70827.9483819770. The cubic root of 5016598272 is about 1711.8660331308.

The spelling of 5016598272 in words is "five billion, sixteen million, five hundred ninety-eight thousand, two hundred seventy-two".