13552185882240 has 768 divisors, whose sum is σ = 49250663280000. Its totient is φ = 3429303091200.

The previous prime is 13552185882233. The next prime is 13552185882251. The reversal of 13552185882240 is 4228858125531.

13552185882240 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 2 + 18 + 588 + 2 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2345071671 + ... + 2345077449.

Almost surely, 2^{13552185882240} is an apocalyptic number.

13552185882240 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 13552185882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24625331640000).

13552185882240 is an abundant number, since it is smaller than the sum of its proper divisors (35698477397760).

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

13552185882240 is a wasteful number, since it uses less digits than its factorization.

13552185882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 13552185882240 in words is "thirteen trillion, five hundred fifty-two billion, one hundred eighty-five million, eight hundred eighty-two thousand, two hundred forty".