13553520091200 has 672 divisors, whose sum is σ = 49808026368000. Its totient is φ = 3585053952000.

The previous prime is 13553520091109. The next prime is 13553520091207. The reversal of 13553520091200 is 219002535531.

13553520091200 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 3 + 520 + 0 + 9 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13553520091207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6647139781 + ... + 6647141819.

Almost surely, 2^{13553520091200} is an apocalyptic number.

13553520091200 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 13553520091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24904013184000).

13553520091200 is an abundant number, since it is smaller than the sum of its proper divisors (36254506276800).

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

13553520091200 is a wasteful number, since it uses less digits than its factorization.

13553520091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 13553520091200 in words is "thirteen trillion, five hundred fifty-three billion, five hundred twenty million, ninety-one thousand, two hundred".