10152160384 has 64 divisors (see below), whose sum is σ = 21044691000. Its totient is φ = 4872404992.

The previous prime is 10152160363. The next prime is 10152160387. The reversal of 10152160384 is 48306125101.

It can be written as a sum of positive squares in 4 ways, for example, as 8330577984 + 1821582400 = 91272^2 + 42680^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10152160387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634272 + ... + 650080.

Almost surely, 2^10152160384 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 10152160384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10522345500).

10152160384 is an abundant number, since it is smaller than the sum of its proper divisors (10892530616).

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

10152160384 is a wasteful number, since it uses less digits than its factorization.

10152160384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16025 (or 16013 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 10152160384 its reverse (48306125101), we get a palindrome (58458285485).

The spelling of 10152160384 in words is "ten billion, one hundred fifty-two million, one hundred sixty thousand, three hundred eighty-four".