20920961952000 has 1296 divisors, whose sum is σ = 82962010010880. Its totient is φ = 5058493440000.

The previous prime is 20920961951977. The next prime is 20920961952031. The reversal of 20920961952000 is 25916902902.

20920961952000 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 0 + 9 + 619 + 5 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22964831545 + ... + 22964832455.

Almost surely, 2^{20920961952000} is an apocalyptic number.

20920961952000 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 20920961952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41481005005440).

20920961952000 is an abundant number, since it is smaller than the sum of its proper divisors (62041048058880).

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

20920961952000 is a wasteful number, since it uses less digits than its factorization.

20920961952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 20920961952000 in words is "twenty trillion, nine hundred twenty billion, nine hundred sixty-one million, nine hundred fifty-two thousand".