13735087120350 has 72 divisors (see below), whose sum is σ = 36902178613872. Its totient is φ = 3662632540800.

The previous prime is 13735087120289. The next prime is 13735087120373. The reversal of 13735087120350 is 5302178053731.

13735087120350 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 508 + 71 + 20 + 3 + 50 = 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 = 13735087120296 and 13735087120305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33959815 + ... + 34361885.

It is an arithmetic number, because the mean of its divisors is an integer number (512530258526).

Almost surely, 2^{13735087120350} is an apocalyptic number.

13735087120350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13735087120350 is an abundant number, since it is smaller than the sum of its proper divisors (23167091493522).

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

13735087120350 is a wasteful number, since it uses less digits than its factorization.

13735087120350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478002 (or 477994 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 13735087120350 in words is "thirteen trillion, seven hundred thirty-five billion, eighty-seven million, one hundred twenty thousand, three hundred fifty".