21163836008832 has 768 divisors, whose sum is σ = 66238233304320. Its totient is φ = 5934722826240.

The previous prime is 21163836008801. The next prime is 21163836008857. The reversal of 21163836008832 is 23880063836112.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24811061718 + ... + 24811062570.

It is an arithmetic number, because the mean of its divisors is an integer number (86247699615).

Almost surely, 2^{21163836008832} is an apocalyptic number.

21163836008832 is a gapful number since it is divisible by the number (22) 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 21163836008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33119116652160).

21163836008832 is an abundant number, since it is smaller than the sum of its proper divisors (45074397295488).

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

21163836008832 is a wasteful number, since it uses less digits than its factorization.

21163836008832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 21163836008832 in words is "twenty-one trillion, one hundred sixty-three billion, eight hundred thirty-six million, eight thousand, eight hundred thirty-two".