11752510299040 has 144 divisors (see below), whose sum is σ = 32303609692200. Its totient is φ = 4028784248832.

The previous prime is 11752510299037. The next prime is 11752510299053. The reversal of 11752510299040 is 4099201525711.

It can be written as a sum of positive squares in 4 ways, for example, as 4364138258704 + 7388372040336 = 2089052^2 + 2718156^2 .

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, 49972446 + ... + 50207074.

Almost surely, 2^{11752510299040} is an apocalyptic number.

11752510299040 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 11752510299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151804846100).

11752510299040 is an abundant number, since it is smaller than the sum of its proper divisors (20551099393160).

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

11752510299040 is a wasteful number, since it uses less digits than its factorization.

11752510299040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241047 (or 241032 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 46.

The spelling of 11752510299040 in words is "eleven trillion, seven hundred fifty-two billion, five hundred ten million, two hundred ninety-nine thousand, forty".