21602421640800 has 2304 divisors, whose sum is σ = 106236400435200. Its totient is φ = 4090748313600.

The previous prime is 21602421640781. The next prime is 21602421640831. The reversal of 21602421640800 is 804612420612.

21602421640800 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 2 + 4 + 2 + 1 + 640 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1708100077 + ... + 1708112723.

It is an arithmetic number, because the mean of its divisors is an integer number (46109548800).

Almost surely, 2^{21602421640800} is an apocalyptic number.

21602421640800 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 21602421640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53118200217600).

21602421640800 is an abundant number, since it is smaller than the sum of its proper divisors (84633978794400).

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

21602421640800 is a wasteful number, since it uses less digits than its factorization.

21602421640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12786 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21602421640800 in words is "twenty-one trillion, six hundred two billion, four hundred twenty-one million, six hundred forty thousand, eight hundred".