13585787082630 has 144 divisors (see below), whose sum is σ = 41342162934384. Its totient is φ = 3086271538560.

The previous prime is 13585787082587. The next prime is 13585787082691. The reversal of 13585787082630 is 3628078758531.

13585787082630 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 578 + 7 + 0 + 8 + 26 + 30 = 666.

It is a super-3 number, since 3×13585787082630³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8731101 + ... + 10168760.

It is an arithmetic number, because the mean of its divisors is an integer number (287098353711).

Almost surely, 2^{13585787082630} is an apocalyptic number.

13585787082630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13585787082630 is an abundant number, since it is smaller than the sum of its proper divisors (27756375851754).

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

13585787082630 is a wasteful number, since it uses less digits than its factorization.

13585787082630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18900051 (or 18900041 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 13585787082630 in words is "thirteen trillion, five hundred eighty-five billion, seven hundred eighty-seven million, eighty-two thousand, six hundred thirty".