20901965760 has 1344 divisors, whose sum is σ = 89467822080. Its totient is φ = 4598415360.

The previous prime is 20901965743. The next prime is 20901965771. The reversal of 20901965760 is 6756910902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 674256945 + ... + 674256975.

It is an arithmetic number, because the mean of its divisors is an integer number (66568320).

Almost surely, 2^20901965760 is an apocalyptic number.

20901965760 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 20901965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44733911040).

20901965760 is an abundant number, since it is smaller than the sum of its proper divisors (68565856320).

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

20901965760 is a wasteful number, since it uses less digits than its factorization.

20901965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 20901965760 in words is "twenty billion, nine hundred one million, nine hundred sixty-five thousand, seven hundred sixty".