11625069888 has 112 divisors (see below), whose sum is σ = 34208435520. Its totient is φ = 3871296000.

The previous prime is 11625069887. The next prime is 11625069893. The reversal of 11625069888 is 88896052611.

It is a happy number.

11625069888 is a `hidden beast` number, since 1 + 1 + 625 + 0 + 6 + 9 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11625069881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2245543 + ... + 2250713.

It is an arithmetic number, because the mean of its divisors is an integer number (305432460).

Almost surely, 2^11625069888 is an apocalyptic number.

11625069888 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 11625069888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104217760).

11625069888 is an abundant number, since it is smaller than the sum of its proper divisors (22583365632).

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

11625069888 is a wasteful number, since it uses less digits than its factorization.

11625069888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6493 (or 6477 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 11625069888 in words is "eleven billion, six hundred twenty-five million, sixty-nine thousand, eight hundred eighty-eight".