13069997015040 has 1920 divisors, whose sum is σ = 55324175148000. Its totient is φ = 2942985830400.

The previous prime is 13069997015027. The next prime is 13069997015069. The reversal of 13069997015040 is 4051079996031.

13069997015040 is a `hidden beast` number, since 1 + 3 + 0 + 69 + 9 + 9 + 70 + 1 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 119 ways as a sum of consecutive naturals, for example, 65678376861 + ... + 65678377059.

Almost surely, 2^{13069997015040} is an apocalyptic number.

13069997015040 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 13069997015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27662087574000).

13069997015040 is an abundant number, since it is smaller than the sum of its proper divisors (42254178132960).

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

13069997015040 is an equidigital number, since it uses as much as digits as its factorization.

13069997015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 13069997015040 in words is "thirteen trillion, sixty-nine billion, nine hundred ninety-seven million, fifteen thousand, forty".