11376904032 has 192 divisors, whose sum is σ = 35867482560. Its totient is φ = 3487629312.

The previous prime is 11376903943. The next prime is 11376904079. The reversal of 11376904032 is 23040967311.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289248 + ... + 3292704.

It is an arithmetic number, because the mean of its divisors is an integer number (186809805).

Almost surely, 2^11376904032 is an apocalyptic number.

11376904032 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 11376904032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17933741280).

11376904032 is an abundant number, since it is smaller than the sum of its proper divisors (24490578528).

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

11376904032 is a wasteful number, since it uses less digits than its factorization.

11376904032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 11376904032 in words is "eleven billion, three hundred seventy-six million, nine hundred four thousand, thirty-two".