11752960000 has 130 divisors (see below), whose sum is σ = 29375809232. Its totient is φ = 4700160000.

The previous prime is 11752959917. The next prime is 11752960019. The reversal of 11752960000 is 6925711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2557705 + ... + 2562295.

Almost surely, 2^11752960000 is an apocalyptic number.

11752960000 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 11752960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14687904616).

11752960000 is an abundant number, since it is smaller than the sum of its proper divisors (17622849232).

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

11752960000 is an frugal number, since it uses more digits than its factorization.

11752960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The spelling of 11752960000 in words is "eleven billion, seven hundred fifty-two million, nine hundred sixty thousand".