12361762916160 has 896 divisors, whose sum is σ = 48635224243200. Its totient is φ = 2649909362688.

The previous prime is 12361762916147. The next prime is 12361762916189. The reversal of 12361762916160 is 6161926716321.

12361762916160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1640139912 + ... + 1640147448.

It is an arithmetic number, because the mean of its divisors is an integer number (54280384200).

Almost surely, 2^{12361762916160} is an apocalyptic number.

12361762916160 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 12361762916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24317612121600).

12361762916160 is an abundant number, since it is smaller than the sum of its proper divisors (36273461327040).

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

12361762916160 is a wasteful number, since it uses less digits than its factorization.

12361762916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The spelling of 12361762916160 in words is "twelve trillion, three hundred sixty-one billion, seven hundred sixty-two million, nine hundred sixteen thousand, one hundred sixty".