20791280880 has 800 divisors, whose sum is σ = 79854888960. Its totient is φ = 4999034880.

The previous prime is 20791280863. The next prime is 20791280893. The reversal of 20791280880 is 8808219702.

It is a happy number.

20791280880 is a `hidden beast` number, since 207 + 91 + 280 + 8 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 250497319 + ... + 250497401.

Almost surely, 2^20791280880 is an apocalyptic number.

20791280880 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 20791280880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39927444480).

20791280880 is an abundant number, since it is smaller than the sum of its proper divisors (59063608080).

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

20791280880 is a wasteful number, since it uses less digits than its factorization.

20791280880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 20791280880 in words is "twenty billion, seven hundred ninety-one million, two hundred eighty thousand, eight hundred eighty".