5153736960 has 432 divisors, whose sum is σ = 19009396224. Its totient is φ = 1286258688.

The previous prime is 5153736911. The next prime is 5153736961. The reversal of 5153736960 is 696373515.

5153736960 is a `hidden beast` number, since 51 + 537 + 3 + 6 + 9 + 60 = 666.

It is a super-2 number, since 2×5153736960² = 53122009305740083200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5153736961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14042697 + ... + 14043063.

It is an arithmetic number, because the mean of its divisors is an integer number (44003232).

Almost surely, 2^5153736960 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 5153736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504698112).

5153736960 is an abundant number, since it is smaller than the sum of its proper divisors (13855659264).

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

5153736960 is a wasteful number, since it uses less digits than its factorization.

5153736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5153736960 is about 71789.5323846033. The cubic root of 5153736960 is about 1727.3250965201.

The spelling of 5153736960 in words is "five billion, one hundred fifty-three million, seven hundred thirty-six thousand, nine hundred sixty".