11075372000 has 432 divisors, whose sum is σ = 34868839824. Its totient is φ = 3444672000.

The previous prime is 11075371987. The next prime is 11075372051. The reversal of 11075372000 is 27357011.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 23715767 + ... + 23716233.

It is an arithmetic number, because the mean of its divisors is an integer number (80714907).

Almost surely, 2^11075372000 is an apocalyptic number.

11075372000 is a gapful number since it is divisible by the number (10) 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 11075372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17434419912).

11075372000 is an abundant number, since it is smaller than the sum of its proper divisors (23793467824).

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

11075372000 is a wasteful number, since it uses less digits than its factorization.

11075372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 26.

The spelling of 11075372000 in words is "eleven billion, seventy-five million, three hundred seventy-two thousand".