21731886792 has 256 divisors, whose sum is σ = 75667046400. Its totient is φ = 5614272000.

The previous prime is 21731886791. The next prime is 21731886797. The reversal of 21731886792 is 29768813712.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21731886791) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3173292 + ... + 3180132.

It is an arithmetic number, because the mean of its divisors is an integer number (295574400).

Almost surely, 2^21731886792 is an apocalyptic number.

21731886792 is a gapful number since it is divisible by the number (22) 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 21731886792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37833523200).

21731886792 is an abundant number, since it is smaller than the sum of its proper divisors (53935159608).

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

21731886792 is a wasteful number, since it uses less digits than its factorization.

21731886792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7055 counting only the distinct ones).

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

The spelling of 21731886792 in words is "twenty-one billion, seven hundred thirty-one million, eight hundred eighty-six thousand, seven hundred ninety-two".