12368536107840 has 1120 divisors, whose sum is σ = 51902367542784. Its totient is φ = 2761959997440.

The previous prime is 12368536107797. The next prime is 12368536107899. The reversal of 12368536107840 is 4870163586321.

12368536107840 is a `hidden beast` number, since 1 + 2 + 3 + 68 + 536 + 1 + 0 + 7 + 8 + 40 = 666.

It is a super-2 number, since 2×12368536107840² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 227783734 + ... + 227838026.

Almost surely, 2^{12368536107840} is an apocalyptic number.

12368536107840 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 12368536107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25951183771392).

12368536107840 is an abundant number, since it is smaller than the sum of its proper divisors (39533831434944).

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

12368536107840 is a wasteful number, since it uses less digits than its factorization.

12368536107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54397 (or 54378 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 12368536107840 in words is "twelve trillion, three hundred sixty-eight billion, five hundred thirty-six million, one hundred seven thousand, eight hundred forty".