20964240960 has 448 divisors, whose sum is σ = 74130481152. Its totient is φ = 4987183104.

The previous prime is 20964240953. The next prime is 20964240989. The reversal of 20964240960 is 6904246902.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60415507 + ... + 60415853.

It is an arithmetic number, because the mean of its divisors is an integer number (165469824).

Almost surely, 2^20964240960 is an apocalyptic number.

20964240960 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 20964240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37065240576).

20964240960 is an abundant number, since it is smaller than the sum of its proper divisors (53166240192).

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

20964240960 is a wasteful number, since it uses less digits than its factorization.

20964240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 20964240960 in words is "twenty billion, nine hundred sixty-four million, two hundred forty thousand, nine hundred sixty".