11752638000 has 80 divisors (see below), whose sum is σ = 37890524256. Its totient is φ = 3134035200.

The previous prime is 11752637989. The next prime is 11752638041. The reversal of 11752638000 is 83625711.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 973387 + ... + 985386.

Almost surely, 2^11752638000 is an apocalyptic number.

11752638000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11752638000 is an abundant number, since it is smaller than the sum of its proper divisors (26137886256).

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

11752638000 is a wasteful number, since it uses less digits than its factorization.

11752638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958799 (or 1958783 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11752638000 in words is "eleven billion, seven hundred fifty-two million, six hundred thirty-eight thousand".