11859697669680 has 960 divisors, whose sum is σ = 48788673753600. Its totient is φ = 2639174952960.

The previous prime is 11859697669657. The next prime is 11859697669709. The reversal of 11859697669680 is 8696679695811.

11859697669680 is a `hidden beast` number, since 1 + 18 + 596 + 9 + 7 + 6 + 6 + 9 + 6 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11859697669680.

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 191 ways as a sum of consecutive naturals, for example, 734839051 + ... + 734855189.

It is an arithmetic number, because the mean of its divisors is an integer number (50821535160).

Almost surely, 2^{11859697669680} is an apocalyptic number.

11859697669680 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 11859697669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24394336876800).

11859697669680 is an abundant number, since it is smaller than the sum of its proper divisors (36928976083920).

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

11859697669680 is a wasteful number, since it uses less digits than its factorization.

11859697669680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16359 (or 16340 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 81.

The spelling of 11859697669680 in words is "eleven trillion, eight hundred fifty-nine billion, six hundred ninety-seven million, six hundred sixty-nine thousand, six hundred eighty".