21907920836800 has 168 divisors, whose sum is σ = 54221529666960. Its totient is φ = 8712091238400.

The previous prime is 21907920836779. The next prime is 21907920836803. The reversal of 21907920836800 is 863802970912.

21907920836800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21907920836800² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21907920836803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1753048152 + ... + 1753060648.

Almost surely, 2^{21907920836800} is an apocalyptic number.

21907920836800 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 21907920836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27110764833480).

21907920836800 is an abundant number, since it is smaller than the sum of its proper divisors (32313608830160).

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

21907920836800 is a wasteful number, since it uses less digits than its factorization.

21907920836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18819 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 21907920836800 in words is "twenty-one trillion, nine hundred seven billion, nine hundred twenty million, eight hundred thirty-six thousand, eight hundred".