13278866328000 has 3584 divisors, whose sum is σ = 64864171008000. Its totient is φ = 2633637888000.

The previous prime is 13278866327989. The next prime is 13278866328019. The reversal of 13278866328000 is 82366887231.

13278866328000 is a `hidden beast` number, since 13 + 278 + 86 + 6 + 3 + 280 + 0 + 0 = 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 511 ways as a sum of consecutive naturals, for example, 16373447595 + ... + 16373448405.

It is an arithmetic number, because the mean of its divisors is an integer number (18098262000).

Almost surely, 2^{13278866328000} is an apocalyptic number.

13278866328000 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 13278866328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432085504000).

13278866328000 is an abundant number, since it is smaller than the sum of its proper divisors (51585304680000).

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

13278866328000 is a wasteful number, since it uses less digits than its factorization.

13278866328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13278866328000 in words is "thirteen trillion, two hundred seventy-eight billion, eight hundred sixty-six million, three hundred twenty-eight thousand".