13652810805150 has 576 divisors, whose sum is σ = 44385018552000. Its totient is φ = 3072361881600.

The previous prime is 13652810805119. The next prime is 13652810805157. The reversal of 13652810805150 is 5150801825631.

13652810805150 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 28 + 108 + 0 + 515 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13652810805096 and 13652810805105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13652810805157) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 202683676 + ... + 202751024.

It is an arithmetic number, because the mean of its divisors is an integer number (77057323875).

Almost surely, 2^{13652810805150} is an apocalyptic number.

13652810805150 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 13652810805150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22192509276000).

13652810805150 is an abundant number, since it is smaller than the sum of its proper divisors (30732207746850).

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

13652810805150 is a wasteful number, since it uses less digits than its factorization.

13652810805150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67482 (or 67460 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 13652810805150 in words is "thirteen trillion, six hundred fifty-two billion, eight hundred ten million, eight hundred five thousand, one hundred fifty".