10153513160 has 256 divisors, whose sum is σ = 28452695040. Its totient is φ = 3182100480.

The previous prime is 10153513129. The next prime is 10153513163. The reversal of 10153513160 is 6131535101.

It is a super-3 number, since 3×10153513160³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10153513163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42130640 + ... + 42130880.

It is an arithmetic number, because the mean of its divisors is an integer number (111143340).

Almost surely, 2^10153513160 is an apocalyptic number.

10153513160 is a gapful number since it is divisible by the number (10) 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 10153513160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14226347520).

10153513160 is an abundant number, since it is smaller than the sum of its proper divisors (18299181880).

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

10153513160 is a wasteful number, since it uses less digits than its factorization.

10153513160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The spelling of 10153513160 in words is "ten billion, one hundred fifty-three million, five hundred thirteen thousand, one hundred sixty".