13196990601564 has 768 divisors, whose sum is σ = 42091385978880. Its totient is φ = 3116805120000.

The previous prime is 13196990601503. The next prime is 13196990601581. The reversal of 13196990601564 is 46510609969131.

It is a happy number.

13196990601564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13196990601498 and 13196990601507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10143727714 + ... + 10143729014.

It is an arithmetic number, because the mean of its divisors is an integer number (54806492160).

Almost surely, 2^{13196990601564} is an apocalyptic number.

13196990601564 is a gapful number since it is divisible by the number (14) 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 13196990601564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21045692989440).

13196990601564 is an abundant number, since it is smaller than the sum of its proper divisors (28894395377316).

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

13196990601564 is a wasteful number, since it uses less digits than its factorization.

13196990601564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 60.

The spelling of 13196990601564 in words is "thirteen trillion, one hundred ninety-six billion, nine hundred ninety million, six hundred one thousand, five hundred sixty-four".