20882400840 has 576 divisors, whose sum is σ = 84131498880. Its totient is φ = 4384972800.

The previous prime is 20882400829. The next prime is 20882400859. The reversal of 20882400840 is 4800428802.

20882400840 is a `hidden beast` number, since 208 + 8 + 2 + 400 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20882400795 and 20882400804.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159407575 + ... + 159407705.

It is an arithmetic number, because the mean of its divisors is an integer number (146061630).

Almost surely, 2^20882400840 is an apocalyptic number.

20882400840 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 20882400840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42065749440).

20882400840 is an abundant number, since it is smaller than the sum of its proper divisors (63249098040).

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

20882400840 is a wasteful number, since it uses less digits than its factorization.

20882400840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 20882400840 in words is "twenty billion, eight hundred eighty-two million, four hundred thousand, eight hundred forty".