11790735750 has 192 divisors, whose sum is σ = 32626983168. Its totient is φ = 3071520000.

The previous prime is 11790735727. The next prime is 11790735763. The reversal of 11790735750 is 5753709711.

11790735750 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 0 + 73 + 575 + 0 = 666.

11790735750 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11790735696 and 11790735705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37194592 + ... + 37194908.

It is an arithmetic number, because the mean of its divisors is an integer number (169932204).

Almost surely, 2^11790735750 is an apocalyptic number.

11790735750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11790735750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16313491584).

11790735750 is an abundant number, since it is smaller than the sum of its proper divisors (20836247418).

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

11790735750 is a wasteful number, since it uses less digits than its factorization.

11790735750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 231525, while the sum is 45.

The spelling of 11790735750 in words is "eleven billion, seven hundred ninety million, seven hundred thirty-five thousand, seven hundred fifty".