11752991040 has 280 divisors, whose sum is σ = 43540984800. Its totient is φ = 2685871104.

The previous prime is 11752990999. The next prime is 11752991069. The reversal of 11752991040 is 4019925711.

It is a tau number, because it is divible by the number of its divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 11752991040.

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 39 ways as a sum of consecutive naturals, for example, 2302411 + ... + 2307509.

Almost surely, 2^11752991040 is an apocalyptic number.

11752991040 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 11752991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21770492400).

11752991040 is an abundant number, since it is smaller than the sum of its proper divisors (31787993760).

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

11752991040 is an frugal number, since it uses more digits than its factorization.

11752991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The spelling of 11752991040 in words is "eleven billion, seven hundred fifty-two million, nine hundred ninety-one thousand, forty".