13396786557840 has 960 divisors, whose sum is σ = 56898658252800. Its totient is φ = 2861178826752.

The previous prime is 13396786557811. The next prime is 13396786557863. The reversal of 13396786557840 is 4875568769331.

It is a happy number.

13396786557840 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 6 + 7 + 8 + 6 + 5 + 578 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 188707471 + ... + 188778449.

It is an arithmetic number, because the mean of its divisors is an integer number (59269435680).

Almost surely, 2^{13396786557840} is an apocalyptic number.

13396786557840 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 13396786557840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28449329126400).

13396786557840 is an abundant number, since it is smaller than the sum of its proper divisors (43501871694960).

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

13396786557840 is a wasteful number, since it uses less digits than its factorization.

13396786557840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71106 (or 71088 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 13396786557840 in words is "thirteen trillion, three hundred ninety-six billion, seven hundred eighty-six million, five hundred fifty-seven thousand, eight hundred forty".