21955493233080 has 256 divisors, whose sum is σ = 79843556390400. Its totient is φ = 5322183874560.

The previous prime is 21955493233013. The next prime is 21955493233081. The reversal of 21955493233080 is 8033239455912.

21955493233080 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 5 + 4 + 9 + 323 + 308 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21955493233081) 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, 203533639 + ... + 203641481.

It is an arithmetic number, because the mean of its divisors is an integer number (311888892150).

Almost surely, 2^{21955493233080} is an apocalyptic number.

21955493233080 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 21955493233080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39921778195200).

21955493233080 is an abundant number, since it is smaller than the sum of its proper divisors (57888063157320).

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

21955493233080 is a wasteful number, since it uses less digits than its factorization.

21955493233080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125011 (or 125001 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 21955493233080 in words is "twenty-one trillion, nine hundred fifty-five billion, four hundred ninety-three million, two hundred thirty-three thousand, eighty".