5156190816 has 288 divisors, whose sum is σ = 17117291520. Its totient is φ = 1349913600.

The previous prime is 5156190803. The next prime is 5156190821. The reversal of 5156190816 is 6180916515.

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 47 ways as a sum of consecutive naturals, for example, 2769726 + ... + 2771586.

It is an arithmetic number, because the mean of its divisors is an integer number (59435040).

Almost surely, 2^5156190816 is an apocalyptic number.

5156190816 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 5156190816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8558645760).

5156190816 is an abundant number, since it is smaller than the sum of its proper divisors (11961100704).

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

5156190816 is a wasteful number, since it uses less digits than its factorization.

5156190816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 5156190816 is about 71806.6209760632. The cubic root of 5156190816 is about 1727.5991975949.

The spelling of 5156190816 in words is "five billion, one hundred fifty-six million, one hundred ninety thousand, eight hundred sixteen".