21322969113600 has 2112 divisors, whose sum is σ = 103372732293120. Its totient is φ = 4169937715200.

The previous prime is 21322969113577. The next prime is 21322969113631. The reversal of 21322969113600 is 631196922312.

21322969113600 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 29 + 6 + 9 + 1 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 904769017 + ... + 904792583.

Almost surely, 2^{21322969113600} is an apocalyptic number.

21322969113600 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 21322969113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51686366146560).

21322969113600 is an abundant number, since it is smaller than the sum of its proper divisors (82049763179520).

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

21322969113600 is a wasteful number, since it uses less digits than its factorization.

21322969113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23641 (or 23612 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 21322969113600 in words is "twenty-one trillion, three hundred twenty-two billion, nine hundred sixty-nine million, one hundred thirteen thousand, six hundred".