13826675520 has 336 divisors, whose sum is σ = 54728668800. Its totient is φ = 3138490368.

The previous prime is 13826675519. The next prime is 13826675557. The reversal of 13826675520 is 2557662831.

13826675520 is a `hidden beast` number, since 1 + 38 + 2 + 6 + 67 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3001539 + ... + 3006141.

Almost surely, 2^13826675520 is an apocalyptic number.

13826675520 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 13826675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27364334400).

13826675520 is an abundant number, since it is smaller than the sum of its proper divisors (40901993280).

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

13826675520 is a wasteful number, since it uses less digits than its factorization.

13826675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4782 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 13826675520 in words is "thirteen billion, eight hundred twenty-six million, six hundred seventy-five thousand, five hundred twenty".