10153035520 has 72 divisors (see below), whose sum is σ = 24339453264. Its totient is φ = 4057915392.

The previous prime is 10153035499. The next prime is 10153035553. The reversal of 10153035520 is 2553035101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2118567 + ... + 2123353.

It is an arithmetic number, because the mean of its divisors is an integer number (338047962).

Almost surely, 2^10153035520 is an apocalyptic number.

10153035520 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 10153035520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169726632).

10153035520 is an abundant number, since it is smaller than the sum of its proper divisors (14186417744).

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

10153035520 is an equidigital number, since it uses as much as digits as its factorization.

10153035520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465 (or 6451 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 10153035520 in words is "ten billion, one hundred fifty-three million, thirty-five thousand, five hundred twenty".