12746887154820 has 2592 divisors, whose sum is σ = 55296239072256. Its totient is φ = 2445520896000.

The previous prime is 12746887154809. The next prime is 12746887154849. The reversal of 12746887154820 is 2845178864721.

12746887154820 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 6 + 8 + 87 + 1 + 548 + 2 + 0 = 666.

It is a super-2 number, since 2×12746887154820² (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 an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 21209462520 + ... + 21209463120.

It is an arithmetic number, because the mean of its divisors is an integer number (21333425568).

Almost surely, 2^{12746887154820} is an apocalyptic number.

12746887154820 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 12746887154820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648119536128).

12746887154820 is an abundant number, since it is smaller than the sum of its proper divisors (42549351917436).

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

12746887154820 is a wasteful number, since it uses less digits than its factorization.

12746887154820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 12746887154820 in words is "twelve trillion, seven hundred forty-six billion, eight hundred eighty-seven million, one hundred fifty-four thousand, eight hundred twenty".