13825670740 has 48 divisors (see below), whose sum is σ = 33725591424. Its totient is φ = 4662518400.

The previous prime is 13825670713. The next prime is 13825670759. The reversal of 13825670740 is 4707652831.

13825670740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13825670740² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800926 + ... + 818005.

It is an arithmetic number, because the mean of its divisors is an integer number (702616488).

Almost surely, 2^13825670740 is an apocalyptic number.

13825670740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13825670740 is an abundant number, since it is smaller than the sum of its proper divisors (19899920684).

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

13825670740 is a wasteful number, since it uses less digits than its factorization.

13825670740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619008 (or 1619006 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 13825670740 in words is "thirteen billion, eight hundred twenty-five million, six hundred seventy thousand, seven hundred forty".