12774135235680 has 2304 divisors, whose sum is σ = 60070597816320. Its totient is φ = 2488662392832.

The previous prime is 12774135235669. The next prime is 12774135235711. The reversal of 12774135235680 is 8653253147721.

12774135235680 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 41 + 35 + 2 + 3 + 568 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 2359896654 + ... + 2359902066.

It is an arithmetic number, because the mean of its divisors is an integer number (26072308080).

Almost surely, 2^{12774135235680} is an apocalyptic number.

12774135235680 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 12774135235680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30035298908160).

12774135235680 is an abundant number, since it is smaller than the sum of its proper divisors (47296462580640).

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

12774135235680 is a wasteful number, since it uses less digits than its factorization.

12774135235680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 12774135235680 in words is "twelve trillion, seven hundred seventy-four billion, one hundred thirty-five million, two hundred thirty-five thousand, six hundred eighty".