20910883904064 has 1680 divisors, whose sum is σ = 83136345304320. Its totient is φ = 5124777154560.

The previous prime is 20910883904041. The next prime is 20910883904123. The reversal of 20910883904064 is 46040938801902.

20910883904064 is a `hidden beast` number, since 209 + 1 + 0 + 8 + 8 + 390 + 40 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20910883904064.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 16298427967 + ... + 16298429249.

It is an arithmetic number, because the mean of its divisors is an integer number (49485919824).

Almost surely, 2^{20910883904064} is an apocalyptic number.

20910883904064 is a gapful number since it is divisible by the number (24) 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 20910883904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41568172652160).

20910883904064 is an abundant number, since it is smaller than the sum of its proper divisors (62225461400256).

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

20910883904064 is a wasteful number, since it uses less digits than its factorization.

20910883904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1632 counting only the distinct ones).

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

The spelling of 20910883904064 in words is "twenty trillion, nine hundred ten billion, eight hundred eighty-three million, nine hundred four thousand, sixty-four".