1607135335420 has 48 divisors (see below), whose sum is σ = 3422479001760. Its totient is φ = 633814004736.

The previous prime is 1607135335411. The next prime is 1607135335489. The reversal of 1607135335420 is 245335317061.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3782659 + ... + 4186021.

It is an arithmetic number, because the mean of its divisors is an integer number (71301645870).

Almost surely, 2^{1607135335420} is an apocalyptic number.

1607135335420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1607135335420 is an abundant number, since it is smaller than the sum of its proper divisors (1815343666340).

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

1607135335420 is a wasteful number, since it uses less digits than its factorization.

1607135335420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406174 (or 406172 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 1607135335420 in words is "one trillion, six hundred seven billion, one hundred thirty-five million, three hundred thirty-five thousand, four hundred twenty".