21986163460800 has 1680 divisors, whose sum is σ = 100905337716480. Its totient is φ = 4561837056000.

The previous prime is 21986163460799. The next prime is 21986163460801. The reversal of 21986163460800 is 806436168912.

21986163460800 is a `hidden beast` number, since 2 + 1 + 98 + 6 + 16 + 3 + 460 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21986163460799) and next prime (21986163460801).

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21986163460801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9689802066 + ... + 9689804334.

Almost surely, 2^{21986163460800} is an apocalyptic number.

21986163460800 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 21986163460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50452668858240).

21986163460800 is an abundant number, since it is smaller than the sum of its proper divisors (78919174255680).

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

21986163460800 is a wasteful number, since it uses less digits than its factorization.

21986163460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 21986163460800 in words is "twenty-one trillion, nine hundred eighty-six billion, one hundred sixty-three million, four hundred sixty thousand, eight hundred".