11917599794352 has 320 divisors, whose sum is σ = 39862813854720. Its totient is φ = 3338491852800.

The previous prime is 11917599794351. The next prime is 11917599794369. The reversal of 11917599794352 is 25349799571911.

11917599794352 is a `hidden beast` number, since 1 + 19 + 17 + 599 + 7 + 9 + 4 + 3 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11917599794351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57634027 + ... + 57840437.

It is an arithmetic number, because the mean of its divisors is an integer number (124571293296).

Almost surely, 2^{11917599794352} is an apocalyptic number.

11917599794352 is a gapful number since it is divisible by the number (12) 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 11917599794352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19931406927360).

11917599794352 is an abundant number, since it is smaller than the sum of its proper divisors (27945214060368).

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

11917599794352 is a wasteful number, since it uses less digits than its factorization.

11917599794352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206809 (or 206797 counting only the distinct ones).

The product of its digits is 192893400, while the sum is 72.

The spelling of 11917599794352 in words is "eleven trillion, nine hundred seventeen billion, five hundred ninety-nine million, seven hundred ninety-four thousand, three hundred fifty-two".