5160385152 has 128 divisors (see below), whose sum is σ = 16402008000. Its totient is φ = 1587796992.

The previous prime is 5160385141. The next prime is 5160385183. The reversal of 5160385152 is 2515830615.

It is a happy number.

5160385152 is a `hidden beast` number, since 51 + 60 + 38 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12502 + ... + 102357.

Almost surely, 2^5160385152 is an apocalyptic number.

5160385152 is a gapful number since it is divisible by the number (52) 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 5160385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201004000).

5160385152 is an abundant number, since it is smaller than the sum of its proper divisors (11241622848).

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

5160385152 is a wasteful number, since it uses less digits than its factorization.

5160385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114895 (or 114877 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5160385152 is about 71835.8208138530. The cubic root of 5160385152 is about 1728.0675127943.

The spelling of 5160385152 in words is "five billion, one hundred sixty million, three hundred eighty-five thousand, one hundred fifty-two".