5012593920 has 216 divisors, whose sum is σ = 17541505800. Its totient is φ = 1321402368.

The previous prime is 5012593913. The next prime is 5012593951. The reversal of 5012593920 is 293952105.

It is a happy number.

5012593920 is a `hidden beast` number, since 50 + 12 + 593 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 327465216 + 4685128704 = 18096^2 + 68448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022836 + ... + 1027724.

It is an arithmetic number, because the mean of its divisors is an integer number (81210675).

Almost surely, 2^5012593920 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 5012593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770752900).

5012593920 is an abundant number, since it is smaller than the sum of its proper divisors (12528911880).

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

5012593920 is a wasteful number, since it uses less digits than its factorization.

5012593920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5005 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5012593920 is about 70799.6745755233. The cubic root of 5012593920 is about 1711.4104296507.

The spelling of 5012593920 in words is "five billion, twelve million, five hundred ninety-three thousand, nine hundred twenty".