11375208432 has 200 divisors, whose sum is σ = 38082312576. Its totient is φ = 3210689664.

The previous prime is 11375208391. The next prime is 11375208563. The reversal of 11375208432 is 23480257311.

11375208432 is a `hidden beast` number, since 1 + 13 + 7 + 5 + 208 + 432 = 666.

11375208432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 745423 + ... + 760529.

Almost surely, 2^11375208432 is an apocalyptic number.

11375208432 is a gapful number since it is divisible by the number (12) 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 11375208432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19041156288).

11375208432 is an abundant number, since it is smaller than the sum of its proper divisors (26707104144).

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

11375208432 is a wasteful number, since it uses less digits than its factorization.

11375208432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15217 (or 15202 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11375208432 in words is "eleven billion, three hundred seventy-five million, two hundred eight thousand, four hundred thirty-two".