13875336627390 has 192 divisors, whose sum is σ = 42760335421440. Its totient is φ = 3171227915520.

The previous prime is 13875336627367. The next prime is 13875336627409. The reversal of 13875336627390 is 9372663357831.

13875336627390 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 533 + 6 + 6 + 2 + 7 + 3 + 90 = 666.

13875336627390 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242891251 + ... + 242948369.

It is an arithmetic number, because the mean of its divisors is an integer number (222710080320).

Almost surely, 2^{13875336627390} is an apocalyptic number.

13875336627390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13875336627390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21380167710720).

13875336627390 is an abundant number, since it is smaller than the sum of its proper divisors (28884998794050).

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

13875336627390 is a wasteful number, since it uses less digits than its factorization.

13875336627390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71429 (or 71417 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 13875336627390 in words is "thirteen trillion, eight hundred seventy-five billion, three hundred thirty-six million, six hundred twenty-seven thousand, three hundred ninety".