13286169167040 has 1792 divisors, whose sum is σ = 59405908193280. Its totient is φ = 2749195468800.

The previous prime is 13286169167021. The next prime is 13286169167057. The reversal of 13286169167040 is 4076196168231.

13286169167040 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 616 + 9 + 16 + 7 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×13286169167040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 20100104310 + ... + 20100104970.

Almost surely, 2^{13286169167040} is an apocalyptic number.

13286169167040 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 13286169167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29702954096640).

13286169167040 is an abundant number, since it is smaller than the sum of its proper divisors (46119739026240).

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

13286169167040 is an equidigital number, since it uses as much as digits as its factorization.

13286169167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1062 counting only the distinct ones).

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

The spelling of 13286169167040 in words is "thirteen trillion, two hundred eighty-six billion, one hundred sixty-nine million, one hundred sixty-seven thousand, forty".