12794977702080 has 840 divisors, whose sum is σ = 54236399950656. Its totient is φ = 2853223833600.

The previous prime is 12794977701991. The next prime is 12794977702099. The reversal of 12794977702080 is 8020777949721.

12794977702080 is a `hidden beast` number, since 1 + 2 + 79 + 497 + 7 + 70 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×12794977702080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 12794977701999 and 12794977702017.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 51950425 + ... + 52196135.

Almost surely, 2^{12794977702080} is an apocalyptic number.

12794977702080 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 12794977702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27118199975328).

12794977702080 is an abundant number, since it is smaller than the sum of its proper divisors (41441422248576).

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

12794977702080 is a wasteful number, since it uses less digits than its factorization.

12794977702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245795 (or 245769 counting only the distinct ones).

The product of its (nonzero) digits is 24893568, while the sum is 63.

The spelling of 12794977702080 in words is "twelve trillion, seven hundred ninety-four billion, nine hundred seventy-seven million, seven hundred two thousand, eighty".