21153010944 has 288 divisors, whose sum is σ = 63689601024. Its totient is φ = 6183936000.

The previous prime is 21153010943. The next prime is 21153010979. The reversal of 21153010944 is 44901035112.

It is a super-2 number, since 2×21153010944² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21153010943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57637449 + ... + 57637815.

It is an arithmetic number, because the mean of its divisors is an integer number (221144448).

Almost surely, 2^21153010944 is an apocalyptic number.

21153010944 is a gapful number since it is divisible by the number (24) 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 21153010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31844800512).

21153010944 is an abundant number, since it is smaller than the sum of its proper divisors (42536590080).

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

21153010944 is a wasteful number, since it uses less digits than its factorization.

21153010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 21153010944 in words is "twenty-one billion, one hundred fifty-three million, ten thousand, nine hundred forty-four".