13552104093750 has 672 divisors, whose sum is σ = 40365186444000. Its totient is φ = 3369427200000.

The previous prime is 13552104093727. The next prime is 13552104093761. The reversal of 13552104093750 is 5739040125531.

13552104093750 is a `hidden beast` number, since 1 + 3 + 5 + 521 + 0 + 40 + 9 + 37 + 50 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 13552104093696 and 13552104093705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 36332718564 + ... + 36332718936.

Almost surely, 2^{13552104093750} is an apocalyptic number.

13552104093750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13552104093750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20182593222000).

13552104093750 is an abundant number, since it is smaller than the sum of its proper divisors (26813082350250).

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

13552104093750 is an equidigital number, since it uses as much as digits as its factorization.

13552104093750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 13552104093750 in words is "thirteen trillion, five hundred fifty-two billion, one hundred four million, ninety-three thousand, seven hundred fifty".