22550775120 has 120 divisors (see below), whose sum is σ = 75924745416. Its totient is φ = 5998316544.

The previous prime is 22550775103. The next prime is 22550775131. The reversal of 22550775120 is 2157705522.

22550775120 is a `hidden beast` number, since 2 + 25 + 50 + 77 + 512 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2679925824 + 19870849296 = 51768^2 + 140964^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×22550775120² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246394 + ... + 325286.

Almost surely, 2^22550775120 is an apocalyptic number.

22550775120 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 22550775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37962372708).

22550775120 is an abundant number, since it is smaller than the sum of its proper divisors (53373970296).

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

22550775120 is a wasteful number, since it uses less digits than its factorization.

22550775120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79309 (or 79300 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 22550775120 in words is "twenty-two billion, five hundred fifty million, seven hundred seventy-five thousand, one hundred twenty".