21523159607040 has 864 divisors, whose sum is σ = 95047460691456. Its totient is φ = 4541144186880.

The previous prime is 21523159607023. The next prime is 21523159607041. The reversal of 21523159607040 is 4070695132512.

21523159607040 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 31 + 5 + 9 + 607 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21523159607041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27924435 + ... + 28684845.

Almost surely, 2^{21523159607040} is an apocalyptic number.

21523159607040 is a gapful number since it is divisible by the number (20) 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 21523159607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47523730345728).

21523159607040 is an abundant number, since it is smaller than the sum of its proper divisors (73524301084416).

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

21523159607040 is an equidigital number, since it uses as much as digits as its factorization.

21523159607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760467 (or 760441 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 21523159607040 in words is "twenty-one trillion, five hundred twenty-three billion, one hundred fifty-nine million, six hundred seven thousand, forty".