5152412160 has 640 divisors, whose sum is σ = 21872885760. Its totient is φ = 1124057088.

The previous prime is 5152412159. The next prime is 5152412179. The reversal of 5152412160 is 612142515.

5152412160 is a `hidden beast` number, since 515 + 24 + 121 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11128089 + ... + 11128551.

It is an arithmetic number, because the mean of its divisors is an integer number (34176384).

Almost surely, 2^5152412160 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 5152412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936442880).

5152412160 is an abundant number, since it is smaller than the sum of its proper divisors (16720473600).

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

5152412160 is a wasteful number, since it uses less digits than its factorization.

5152412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5152412160 is about 71780.3048196370. The cubic root of 5152412160 is about 1727.1770772988.

Adding to 5152412160 its reverse (612142515), we get a palindrome (5764554675).

The spelling of 5152412160 in words is "five billion, one hundred fifty-two million, four hundred twelve thousand, one hundred sixty".