22528977120 has 864 divisors, whose sum is σ = 90601029792. Its totient is φ = 5253341184.

The previous prime is 22528977113. The next prime is 22528977139. The reversal of 22528977120 is 2177982522.

22528977120 is a `hidden beast` number, since 22 + 528 + 97 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 425075014 + ... + 425075066.

It is an arithmetic number, because the mean of its divisors is an integer number (104862303).

Almost surely, 2^22528977120 is an apocalyptic number.

22528977120 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 22528977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45300514896).

22528977120 is an abundant number, since it is smaller than the sum of its proper divisors (68072052672).

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

22528977120 is a wasteful number, since it uses less digits than its factorization.

22528977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 22528977120 in words is "twenty-two billion, five hundred twenty-eight million, nine hundred seventy-seven thousand, one hundred twenty".