11275625088 has 1280 divisors, whose sum is σ = 47274796800. Its totient is φ = 2579890176.

The previous prime is 11275625063. The next prime is 11275625089. The reversal of 11275625088 is 88052657211.

11275625088 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 562 + 5 + 0 + 88 = 666.

It is a super-2 number, since 2×11275625088² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11275625089) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 304746606 + ... + 304746642.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^11275625088 is an apocalyptic number.

11275625088 is a gapful number since it is divisible by the number (18) 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 11275625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23637398400).

11275625088 is an abundant number, since it is smaller than the sum of its proper divisors (35999171712).

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

11275625088 is a wasteful number, since it uses less digits than its factorization.

11275625088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 11275625088 in words is "eleven billion, two hundred seventy-five million, six hundred twenty-five thousand, eighty-eight".