21214837163520 has 5760 divisors, whose sum is σ = 108173148475392. Its totient is φ = 3912833433600.

The previous prime is 21214837163519. The next prime is 21214837163561. The reversal of 21214837163520 is 2536173841212.

21214837163520 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 8 + 3 + 7 + 1 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 135126351282 + ... + 135126351438.

Almost surely, 2^{21214837163520} is an apocalyptic number.

21214837163520 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 21214837163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54086574237696).

21214837163520 is an abundant number, since it is smaller than the sum of its proper divisors (86958311311872).

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

21214837163520 is a wasteful number, since it uses less digits than its factorization.

21214837163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 21214837163520 in words is "twenty-one trillion, two hundred fourteen billion, eight hundred thirty-seven million, one hundred sixty-three thousand, five hundred twenty".