13935993506028 has 72 divisors (see below), whose sum is σ = 40690120096080. Its totient is φ = 3974614901760.

The previous prime is 13935993505981. The next prime is 13935993506053. The reversal of 13935993506028 is 82060539953931.

13935993506028 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 599 + 35 + 0 + 6 + 0 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035049233 + ... + 1035062696.

It is an arithmetic number, because the mean of its divisors is an integer number (565140556890).

Almost surely, 2^{13935993506028} is an apocalyptic number.

13935993506028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13935993506028 is an abundant number, since it is smaller than the sum of its proper divisors (26754126590052).

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

13935993506028 is a wasteful number, since it uses less digits than its factorization.

13935993506028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070111967 (or 2070111962 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 13935993506028 in words is "thirteen trillion, nine hundred thirty-five billion, nine hundred ninety-three million, five hundred six thousand, twenty-eight".