5156388720 has 800 divisors, whose sum is σ = 22354759680. Its totient is φ = 1074954240.

The previous prime is 5156388719. The next prime is 5156388733. The reversal of 5156388720 is 278836515.

5156388720 is a `hidden beast` number, since 5 + 1 + 5 + 638 + 8 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26716944 + ... + 26717136.

Almost surely, 2^5156388720 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 5156388720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11177379840).

5156388720 is an abundant number, since it is smaller than the sum of its proper divisors (17198370960).

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

5156388720 is a wasteful number, since it uses less digits than its factorization.

5156388720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 5156388720 is about 71807.9989973262. The cubic root of 5156388720 is about 1727.6213001139.

The spelling of 5156388720 in words is "five billion, one hundred fifty-six million, three hundred eighty-eight thousand, seven hundred twenty".