13190380136640 has 1512 divisors, whose sum is σ = 57877846745472. Its totient is φ = 2745795870720.

The previous prime is 13190380136639. The next prime is 13190380136651. The reversal of 13190380136640 is 4663108309131.

It is a happy number.

13190380136640 is a `hidden beast` number, since 13 + 1 + 90 + 380 + 136 + 6 + 40 = 666.

It is a super-2 number, since 2×13190380136640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1264288864 + ... + 1264299296.

Almost surely, 2^{13190380136640} is an apocalyptic number.

13190380136640 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 13190380136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28938923372736).

13190380136640 is an abundant number, since it is smaller than the sum of its proper divisors (44687466608832).

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

13190380136640 is a wasteful number, since it uses less digits than its factorization.

13190380136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13190380136640 in words is "thirteen trillion, one hundred ninety billion, three hundred eighty million, one hundred thirty-six thousand, six hundred forty".