11407269888 has 504 divisors, whose sum is σ = 40605724224. Its totient is φ = 3016949760.

The previous prime is 11407269847. The next prime is 11407269901. The reversal of 11407269888 is 88896270411.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 367976433 + ... + 367976463.

Almost surely, 2^11407269888 is an apocalyptic number.

11407269888 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 11407269888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20302862112).

11407269888 is an abundant number, since it is smaller than the sum of its proper divisors (29198454336).

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

11407269888 is an equidigital number, since it uses as much as digits as its factorization.

11407269888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11407269888 in words is "eleven billion, four hundred seven million, two hundred sixty-nine thousand, eight hundred eighty-eight".