20877816960 has 2048 divisors, whose sum is σ = 106599628800. Its totient is φ = 3715891200.

The previous prime is 20877816941. The next prime is 20877816991. The reversal of 20877816960 is 6961877802.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20877816897 and 20877816906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 294053725 + ... + 294053795.

It is an arithmetic number, because the mean of its divisors is an integer number (52050600).

Almost surely, 2^20877816960 is an apocalyptic number.

20877816960 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 20877816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53299814400).

20877816960 is an abundant number, since it is smaller than the sum of its proper divisors (85721811840).

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

20877816960 is a wasteful number, since it uses less digits than its factorization.

20877816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 20877816960 in words is "twenty billion, eight hundred seventy-seven million, eight hundred sixteen thousand, nine hundred sixty".