20965776100 has 72 divisors (see below), whose sum is σ = 47924432640. Its totient is φ = 7939255680.

The previous prime is 20965776071. The next prime is 20965776101. The reversal of 20965776100 is 167756902.

It is not an unprimeable number, because it can be changed into a prime (20965776101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3460674 + ... + 3466726.

It is an arithmetic number, because the mean of its divisors is an integer number (665617120).

Almost surely, 2^20965776100 is an apocalyptic number.

20965776100 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 20965776100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23962216320).

20965776100 is an abundant number, since it is smaller than the sum of its proper divisors (26958656540).

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

20965776100 is a wasteful number, since it uses less digits than its factorization.

20965776100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7909 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 20965776100 in words is "twenty billion, nine hundred sixty-five million, seven hundred seventy-six thousand, one hundred".