21408881260800 has 216 divisors, whose sum is σ = 77076838954080. Its totient is φ = 5190031769600.

The previous prime is 21408881260777. The next prime is 21408881260841. The reversal of 21408881260800 is 806218880412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 21408881260800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50472705 + ... + 50895104.

It is an arithmetic number, because the mean of its divisors is an integer number (356837217380).

Almost surely, 2^{21408881260800} is an apocalyptic number.

21408881260800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21408881260800 is an abundant number, since it is smaller than the sum of its proper divisors (55667957693280).

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

21408881260800 is a wasteful number, since it uses less digits than its factorization.

21408881260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101367849 (or 101367830 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 48.

The spelling of 21408881260800 in words is "twenty-one trillion, four hundred eight billion, eight hundred eighty-one million, two hundred sixty thousand, eight hundred".