11500610004 has 72 divisors (see below), whose sum is σ = 31392990720. Its totient is φ = 3528954432.

The previous prime is 11500609969. The next prime is 11500610053. The reversal of 11500610004 is 40001600511.

11500610004 is a `hidden beast` number, since 1 + 1 + 50 + 0 + 610 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138277 + ... + 205235.

It is an arithmetic number, because the mean of its divisors is an integer number (436013760).

Almost surely, 2^11500610004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11500610004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696495360).

11500610004 is an abundant number, since it is smaller than the sum of its proper divisors (19892380716).

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

11500610004 is a wasteful number, since it uses less digits than its factorization.

11500610004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67349 (or 67344 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 11500610004 in words is "eleven billion, five hundred million, six hundred ten thousand, four".