5136505920 has 896 divisors, whose sum is σ = 22940467200. Its totient is φ = 1053057024.

The previous prime is 5136505903. The next prime is 5136505931. The reversal of 5136505920 is 295056315.

5136505920 is a `hidden beast` number, since 5 + 1 + 3 + 65 + 0 + 592 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36953211 + ... + 36953349.

It is an arithmetic number, because the mean of its divisors is an integer number (25603200).

Almost surely, 2^5136505920 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 5136505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11470233600).

5136505920 is an abundant number, since it is smaller than the sum of its proper divisors (17803961280).

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

5136505920 is a wasteful number, since it uses less digits than its factorization.

5136505920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 5136505920 is about 71669.4210943552. The cubic root of 5136505920 is about 1725.3978968700.

The spelling of 5136505920 in words is "five billion, one hundred thirty-six million, five hundred five thousand, nine hundred twenty".