12090687860160 has 4032 divisors, whose sum is σ = 58964886489600. Its totient is φ = 2328135892992.

The previous prime is 12090687860149. The next prime is 12090687860203. The reversal of 12090687860160 is 6106878609021.

12090687860160 is a `hidden beast` number, since 1 + 20 + 9 + 0 + 6 + 8 + 7 + 8 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12090687860097 and 12090687860106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 27292748899 + ... + 27292749341.

It is an arithmetic number, because the mean of its divisors is an integer number (14624227800).

Almost surely, 2^{12090687860160} is an apocalyptic number.

12090687860160 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 12090687860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29482443244800).

12090687860160 is an abundant number, since it is smaller than the sum of its proper divisors (46874198629440).

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

12090687860160 is a wasteful number, since it uses less digits than its factorization.

12090687860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 12090687860160 in words is "twelve trillion, ninety billion, six hundred eighty-seven million, eight hundred sixty thousand, one hundred sixty".