5111405856 has 144 divisors (see below), whose sum is σ = 15185570400. Its totient is φ = 1691186688.

The previous prime is 5111405839. The next prime is 5111405863. The reversal of 5111405856 is 6585041115.

5111405856 is a `hidden beast` number, since 511 + 1 + 40 + 58 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5111405856² = 52252939649502185472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5111405856.

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, 1078500 + ... + 1083228.

It is an arithmetic number, because the mean of its divisors is an integer number (105455350).

Almost surely, 2^5111405856 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 5111405856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592785200).

5111405856 is an abundant number, since it is smaller than the sum of its proper divisors (10074164544).

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

5111405856 is a wasteful number, since it uses less digits than its factorization.

5111405856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 5111405856 is about 71494.0966514019. The cubic root of 5111405856 is about 1722.5828618515.

The spelling of 5111405856 in words is "five billion, one hundred eleven million, four hundred five thousand, eight hundred fifty-six".