11254080096 has 216 divisors, whose sum is σ = 37376277120. Its totient is φ = 3202730496.

The previous prime is 11254080091. The next prime is 11254080107. The reversal of 11254080096 is 69008045211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11254080096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11254080091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3907585 + ... + 3910463.

It is an arithmetic number, because the mean of its divisors is an integer number (173038320).

Almost surely, 2^11254080096 is an apocalyptic number.

11254080096 is a gapful number since it is divisible by the number (16) 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 11254080096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18688138560).

11254080096 is an abundant number, since it is smaller than the sum of its proper divisors (26122197024).

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

11254080096 is a wasteful number, since it uses less digits than its factorization.

11254080096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11254080096 in words is "eleven billion, two hundred fifty-four million, eighty thousand, ninety-six".