11790273987936 has 192 divisors, whose sum is σ = 35341574385600. Its totient is φ = 3821289136128.

The previous prime is 11790273987901. The next prime is 11790273987959. The reversal of 11790273987936 is 63978937209711.

11790273987936 is a `hidden beast` number, since 1 + 179 + 0 + 273 + 98 + 79 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47476506 + ... + 47724198.

It is an arithmetic number, because the mean of its divisors is an integer number (184070699925).

Almost surely, 2^{11790273987936} is an apocalyptic number.

11790273987936 is a gapful number since it is divisible by the number (16) 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 11790273987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17670787192800).

11790273987936 is an abundant number, since it is smaller than the sum of its proper divisors (23551300397664).

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

11790273987936 is a wasteful number, since it uses less digits than its factorization.

11790273987936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249238 (or 249224 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 11790273987936 in words is "eleven trillion, seven hundred ninety billion, two hundred seventy-three million, nine hundred eighty-seven thousand, nine hundred thirty-six".