12894566929920 has 1120 divisors, whose sum is σ = 50071838759712. Its totient is φ = 3164378628096.

The previous prime is 12894566929883. The next prime is 12894566929967. The reversal of 12894566929920 is 2992966549821.

12894566929920 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 456 + 69 + 2 + 99 + 20 = 666.

It is a super-3 number, since 3×12894566929920³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11087331259 + ... + 11087332421.

Almost surely, 2^{12894566929920} is an apocalyptic number.

12894566929920 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 12894566929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25035919379856).

12894566929920 is an abundant number, since it is smaller than the sum of its proper divisors (37177271829792).

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

12894566929920 is an equidigital number, since it uses as much as digits as its factorization.

12894566929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 12894566929920 in words is "twelve trillion, eight hundred ninety-four billion, five hundred sixty-six million, nine hundred twenty-nine thousand, nine hundred twenty".