5161078944 has 288 divisors, whose sum is σ = 17732856960. Its totient is φ = 1445962752.

The previous prime is 5161078877. The next prime is 5161078957. The reversal of 5161078944 is 4498701615.

5161078944 is a `hidden beast` number, since 516 + 10 + 7 + 89 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5161078944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2884002 + ... + 2885790.

It is an arithmetic number, because the mean of its divisors is an integer number (61572420).

Almost surely, 2^5161078944 is an apocalyptic number.

5161078944 is a gapful number since it is divisible by the number (54) 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 5161078944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866428480).

5161078944 is an abundant number, since it is smaller than the sum of its proper divisors (12571778016).

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

5161078944 is a wasteful number, since it uses less digits than its factorization.

5161078944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5161078944 is about 71840.6496629868. The cubic root of 5161078944 is about 1728.1449531181.

The spelling of 5161078944 in words is "five billion, one hundred sixty-one million, seventy-eight thousand, nine hundred forty-four".