20900460960 has 576 divisors, whose sum is σ = 78237563040. Its totient is φ = 5060689920.

The previous prime is 20900460937. The next prime is 20900460961. The reversal of 20900460960 is 6906400902.

20900460960 is a `hidden beast` number, since 20 + 90 + 0 + 460 + 96 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 126427536 + 20774033424 = 11244^2 + 144132^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20900460961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115472070 + ... + 115472250.

Almost surely, 2^20900460960 is an apocalyptic number.

20900460960 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 20900460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39118781520).

20900460960 is an abundant number, since it is smaller than the sum of its proper divisors (57337102080).

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

20900460960 is a wasteful number, since it uses less digits than its factorization.

20900460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 20900460960 in words is "twenty billion, nine hundred million, four hundred sixty thousand, nine hundred sixty".