20913600960 has 672 divisors, whose sum is σ = 87870182400. Its totient is φ = 4459069440.

The previous prime is 20913600949. The next prime is 20913600973. The reversal of 20913600960 is 6900631902.

20913600960 is a `hidden beast` number, since 209 + 1 + 360 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×20913600960² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27195456 + ... + 27196224.

It is an arithmetic number, because the mean of its divisors is an integer number (130759200).

Almost surely, 2^20913600960 is an apocalyptic number.

20913600960 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 20913600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43935091200).

20913600960 is an abundant number, since it is smaller than the sum of its proper divisors (66956581440).

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

20913600960 is a wasteful number, since it uses less digits than its factorization.

20913600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 20913600960 in words is "twenty billion, nine hundred thirteen million, six hundred thousand, nine hundred sixty".