20842901760 has 288 divisors, whose sum is σ = 69751745280. Its totient is φ = 5294260224.

The previous prime is 20842901759. The next prime is 20842901771. The reversal of 20842901760 is 6710924802.

It is a super-2 number, since 2×20842901760² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36122592 + ... + 36123168.

It is an arithmetic number, because the mean of its divisors is an integer number (242193560).

Almost surely, 2^20842901760 is an apocalyptic number.

20842901760 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 20842901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34875872640).

20842901760 is an abundant number, since it is smaller than the sum of its proper divisors (48908843520).

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

20842901760 is a wasteful number, since it uses less digits than its factorization.

20842901760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 20842901760 in words is "twenty billion, eight hundred forty-two million, nine hundred one thousand, seven hundred sixty".