13093334676072 has 1152 divisors, whose sum is σ = 48430946304000. Its totient is φ = 3227079813120.

The previous prime is 13093334676047. The next prime is 13093334676139. The reversal of 13093334676072 is 27067643339031.

13093334676072 is a `hidden beast` number, since 1 + 3 + 0 + 93 + 33 + 467 + 60 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3678934629 + ... + 3678938187.

It is an arithmetic number, because the mean of its divisors is an integer number (42040752000).

Almost surely, 2^{13093334676072} is an apocalyptic number.

13093334676072 is a gapful number since it is divisible by the number (12) 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 13093334676072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24215473152000).

13093334676072 is an abundant number, since it is smaller than the sum of its proper divisors (35337611627928).

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

13093334676072 is a wasteful number, since it uses less digits than its factorization.

13093334676072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 13093334676072 in words is "thirteen trillion, ninety-three billion, three hundred thirty-four million, six hundred seventy-six thousand, seventy-two".