12762086400000 has 2016 divisors, whose sum is σ = 54226307169216. Its totient is φ = 2831155200000.

The previous prime is 12762086399947. The next prime is 12762086400017. The reversal of 12762086400000 is 468026721.

12762086400000 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 2 + 0 + 8 + 640 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66124799904 + ... + 66124800096.

It is an arithmetic number, because the mean of its divisors is an integer number (26897969826).

Almost surely, 2^{12762086400000} is an apocalyptic number.

12762086400000 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 12762086400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27113153584608).

12762086400000 is an abundant number, since it is smaller than the sum of its proper divisors (41464220769216).

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

12762086400000 is an frugal number, since it uses more digits than its factorization.

12762086400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12762086400000 in words is "twelve trillion, seven hundred sixty-two billion, eighty-six million, four hundred thousand".