20792234880 has 384 divisors, whose sum is σ = 77890831200. Its totient is φ = 5090181120.

The previous prime is 20792234873. The next prime is 20792234959. The reversal of 20792234880 is 8843229702.

20792234880 is a `hidden beast` number, since 207 + 9 + 22 + 348 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20792234880² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 4012131 + ... + 4017309.

Almost surely, 2^20792234880 is an apocalyptic number.

20792234880 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 20792234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38945415600).

20792234880 is an abundant number, since it is smaller than the sum of its proper divisors (57098596320).

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

20792234880 is a wasteful number, since it uses less digits than its factorization.

20792234880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20792234880 in words is "twenty billion, seven hundred ninety-two million, two hundred thirty-four thousand, eight hundred eighty".