13267573920 has 216 divisors, whose sum is σ = 47332404756. Its totient is φ = 3383998464.

The previous prime is 13267573889. The next prime is 13267574039. The reversal of 13267573920 is 2937576231.

13267573920 is a `hidden beast` number, since 13 + 2 + 67 + 573 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12742797456 + 524776464 = 112884^2 + 22908^2 .

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 35 ways as a sum of consecutive naturals, for example, 753052 + ... + 770468.

Almost surely, 2^13267573920 is an apocalyptic number.

13267573920 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 13267573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23666202378).

13267573920 is an abundant number, since it is smaller than the sum of its proper divisors (34064830836).

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

13267573920 is a wasteful number, since it uses less digits than its factorization.

13267573920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17484 (or 17450 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 13267573920 in words is "thirteen billion, two hundred sixty-seven million, five hundred seventy-three thousand, nine hundred twenty".