21915936000 has 648 divisors, whose sum is σ = 91794090024. Its totient is φ = 5006131200.

The previous prime is 21915935981. The next prime is 21915936001. The reversal of 21915936000 is 63951912.

21915936000 is a `hidden beast` number, since 2 + 1 + 9 + 1 + 593 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4032758016 + 17883177984 = 63504^2 + 133728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21915936001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14111224 + ... + 14112776.

Almost surely, 2^21915936000 is an apocalyptic number.

21915936000 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 21915936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45897045012).

21915936000 is an abundant number, since it is smaller than the sum of its proper divisors (69878154024).

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

21915936000 is a wasteful number, since it uses less digits than its factorization.

21915936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 21915936000 in words is "twenty-one billion, nine hundred fifteen million, nine hundred thirty-six thousand".