5261106816 has 320 divisors, whose sum is σ = 18163474560. Its totient is φ = 1480550400.

The previous prime is 5261106791. The next prime is 5261106857. The reversal of 5261106816 is 6186011625.

5261106816 is a `hidden beast` number, since 526 + 110 + 6 + 8 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5152386 + ... + 5153406.

It is an arithmetic number, because the mean of its divisors is an integer number (56760858).

Almost surely, 2^5261106816 is an apocalyptic number.

5261106816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5261106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081737280).

5261106816 is an abundant number, since it is smaller than the sum of its proper divisors (12902367744).

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

5261106816 is a wasteful number, since it uses less digits than its factorization.

5261106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1104 counting only the distinct ones).

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

The square root of 5261106816 is about 72533.4875488557. The cubic root of 5261106816 is about 1739.2380968700.

The spelling of 5261106816 in words is "five billion, two hundred sixty-one million, one hundred six thousand, eight hundred sixteen".