20964789120 has 768 divisors, whose sum is σ = 78765281280. Its totient is φ = 4730880000.

The previous prime is 20964789103. The next prime is 20964789169. The reversal of 20964789120 is 2198746902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20964789120.

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, 295278685 + ... + 295278755.

It is an arithmetic number, because the mean of its divisors is an integer number (102558960).

Almost surely, 2^20964789120 is an apocalyptic number.

20964789120 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 20964789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39382640640).

20964789120 is an abundant number, since it is smaller than the sum of its proper divisors (57800492160).

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

20964789120 is a wasteful number, since it uses less digits than its factorization.

20964789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 20964789120 in words is "twenty billion, nine hundred sixty-four million, seven hundred eighty-nine thousand, one hundred twenty".