12772435854288 has 320 divisors, whose sum is σ = 36816733578240. Its totient is φ = 3782908108800.

The previous prime is 12772435854271. The next prime is 12772435854317. The reversal of 12772435854288 is 88245853427721.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4408847656 + ... + 4408850552.

It is an arithmetic number, because the mean of its divisors is an integer number (115052292432).

Almost surely, 2^{12772435854288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12772435854288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18408366789120).

12772435854288 is an abundant number, since it is smaller than the sum of its proper divisors (24044297723952).

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

12772435854288 is a wasteful number, since it uses less digits than its factorization.

12772435854288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3740 counting only the distinct ones).

The product of its digits is 240844800, while the sum is 66.

The spelling of 12772435854288 in words is "twelve trillion, seven hundred seventy-two billion, four hundred thirty-five million, eight hundred fifty-four thousand, two hundred eighty-eight".