13742993839750 has 256 divisors, whose sum is σ = 31791469731840. Its totient is φ = 4343574067200.

The previous prime is 13742993839721. The next prime is 13742993839789. The reversal of 13742993839750 is 5793839924731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 13742993839750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 270330334 + ... + 270381166.

It is an arithmetic number, because the mean of its divisors is an integer number (124185428640).

Almost surely, 2^{13742993839750} is an apocalyptic number.

13742993839750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13742993839750 is an abundant number, since it is smaller than the sum of its proper divisors (18048475892090).

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

13742993839750 is a wasteful number, since it uses less digits than its factorization.

13742993839750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51096 (or 51086 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 70.

The spelling of 13742993839750 in words is "thirteen trillion, seven hundred forty-two billion, nine hundred ninety-three million, eight hundred thirty-nine thousand, seven hundred fifty".