11790285894240 has 2304 divisors, whose sum is σ = 48308600309760. Its totient is φ = 2361448857600.

The previous prime is 11790285894227. The next prime is 11790285894329. The reversal of 11790285894240 is 4249858209711.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 142051637239 + ... + 142051637321.

It is an arithmetic number, because the mean of its divisors is an integer number (20967274440).

Almost surely, 2^{11790285894240} is an apocalyptic number.

11790285894240 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 11790285894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24154300154880).

11790285894240 is an abundant number, since it is smaller than the sum of its proper divisors (36518314415520).

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

11790285894240 is a wasteful number, since it uses less digits than its factorization.

11790285894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 11790285894240 in words is "eleven trillion, seven hundred ninety billion, two hundred eighty-five million, eight hundred ninety-four thousand, two hundred forty".