5112691584 has 512 divisors, whose sum is σ = 18687836160. Its totient is φ = 1195499520.

The previous prime is 5112691547. The next prime is 5112691601. The reversal of 5112691584 is 4851962115.

It is a super-2 number, since 2×5112691584² = 52279230466208858112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18065907 + ... + 18066189.

It is an arithmetic number, because the mean of its divisors is an integer number (36499680).

Almost surely, 2^5112691584 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 5112691584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343918080).

5112691584 is an abundant number, since it is smaller than the sum of its proper divisors (13575144576).

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

5112691584 is a wasteful number, since it uses less digits than its factorization.

5112691584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 5112691584 is about 71503.0879333194. The cubic root of 5112691584 is about 1722.7272831323.

It can be divided in two parts, 5112 and 691584, that added together give a palindrome (696696).

The spelling of 5112691584 in words is "five billion, one hundred twelve million, six hundred ninety-one thousand, five hundred eighty-four".