10521816144 has 160 divisors (see below), whose sum is σ = 32547250176. Its totient is φ = 2865646080.

The previous prime is 10521816079. The next prime is 10521816191. The reversal of 10521816144 is 44161812501.

It is a super-2 number, since 2×10521816144² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690334 + ... + 705410.

Almost surely, 2^10521816144 is an apocalyptic number.

10521816144 is a gapful number since it is divisible by the number (14) 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 10521816144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16273625088).

10521816144 is an abundant number, since it is smaller than the sum of its proper divisors (22025434032).

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

10521816144 is a wasteful number, since it uses less digits than its factorization.

10521816144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15193 (or 15187 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 10521816144 in words is "ten billion, five hundred twenty-one million, eight hundred sixteen thousand, one hundred forty-four".