12816654436080 has 1600 divisors, whose sum is σ = 52374436392960. Its totient is φ = 2874905395200.

The previous prime is 12816654436051. The next prime is 12816654436093. The reversal of 12816654436080 is 8063445661821.

12816654436080 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 6 + 65 + 443 + 60 + 80 = 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 319 ways as a sum of consecutive naturals, for example, 4823730112 + ... + 4823732768.

Almost surely, 2^{12816654436080} is an apocalyptic number.

12816654436080 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 12816654436080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26187218196480).

12816654436080 is an abundant number, since it is smaller than the sum of its proper divisors (39557781956880).

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

12816654436080 is a wasteful number, since it uses less digits than its factorization.

12816654436080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 12816654436080 in words is "twelve trillion, eight hundred sixteen billion, six hundred fifty-four million, four hundred thirty-six thousand, eighty".