5112609840 has 400 divisors, whose sum is σ = 19305826848. Its totient is φ = 1246482432.

The previous prime is 5112609811. The next prime is 5112609877. The reversal of 5112609840 is 489062115.

5112609840 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 609 + 8 + 40 = 666.

It is a super-2 number, since 2×5112609840² = 52277558752129651200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 5112609795 and 5112609804.

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, 11540659 + ... + 11541101.

Almost surely, 2^5112609840 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 5112609840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652913424).

5112609840 is an abundant number, since it is smaller than the sum of its proper divisors (14193217008).

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

5112609840 is a wasteful number, since it uses less digits than its factorization.

5112609840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5112609840 is about 71502.5163193576. The cubic root of 5112609840 is about 1722.7181018386.

The spelling of 5112609840 in words is "five billion, one hundred twelve million, six hundred nine thousand, eight hundred forty".