88253122272 has 288 divisors, whose sum is σ = 278896020480. Its totient is φ = 24339087360.

The previous prime is 88253122271. The next prime is 88253122283. The reversal of 88253122272 is 27222135288.

It is a super-2 number, since 2×88253122272² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88253122271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112138263 + ... + 112139049.

It is an arithmetic number, because the mean of its divisors is an integer number (968388960).

Almost surely, 2^88253122272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88253122272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139448010240).

88253122272 is an abundant number, since it is smaller than the sum of its proper divisors (190642898208).

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

88253122272 is a wasteful number, since it uses less digits than its factorization.

88253122272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1599 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The spelling of 88253122272 in words is "eighty-eight billion, two hundred fifty-three million, one hundred twenty-two thousand, two hundred seventy-two".