13073890294080 has 2688 divisors, whose sum is σ = 62284983644160. Its totient is φ = 2506651729920.

The previous prime is 13073890294051. The next prime is 13073890294117. The reversal of 13073890294080 is 8049209837031.

13073890294080 is a `hidden beast` number, since 130 + 7 + 3 + 89 + 0 + 29 + 408 + 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 383 ways as a sum of consecutive naturals, for example, 10190093119 + ... + 10190094401.

Almost surely, 2^{13073890294080} is an apocalyptic number.

13073890294080 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 13073890294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31142491822080).

13073890294080 is an abundant number, since it is smaller than the sum of its proper divisors (49211093350080).

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

13073890294080 is a wasteful number, since it uses less digits than its factorization.

13073890294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13073890294080 in words is "thirteen trillion, seventy-three billion, eight hundred ninety million, two hundred ninety-four thousand, eighty".