22541950080 has 960 divisors, whose sum is σ = 91066187520. Its totient is φ = 5305098240.

The previous prime is 22541950061. The next prime is 22541950091. The reversal of 22541950080 is 8005914522.

22541950080 is a `hidden beast` number, since 22 + 54 + 1 + 9 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 271589719 + ... + 271589801.

It is an arithmetic number, because the mean of its divisors is an integer number (94860612).

Almost surely, 2^22541950080 is an apocalyptic number.

22541950080 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 22541950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45533093760).

22541950080 is an abundant number, since it is smaller than the sum of its proper divisors (68524237440).

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

22541950080 is a wasteful number, since it uses less digits than its factorization.

22541950080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 22541950080 in words is "twenty-two billion, five hundred forty-one million, nine hundred fifty thousand, eighty".