20996880976800 has 1728 divisors, whose sum is σ = 81156886626816. Its totient is φ = 5291835494400.

The previous prime is 20996880976783. The next prime is 20996880976823. The reversal of 20996880976800 is 867908869902.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36772120515 + ... + 36772121085.

It is an arithmetic number, because the mean of its divisors is an integer number (46965790872).

Almost surely, 2^{20996880976800} is an apocalyptic number.

20996880976800 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 20996880976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40578443313408).

20996880976800 is an abundant number, since it is smaller than the sum of its proper divisors (60160005650016).

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

20996880976800 is a wasteful number, since it uses less digits than its factorization.

20996880976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 20996880976800 in words is "twenty trillion, nine hundred ninety-six billion, eight hundred eighty million, nine hundred seventy-six thousand, eight hundred".