12838878758160 has 960 divisors, whose sum is σ = 57808834997760. Its totient is φ = 2591079321600.

The previous prime is 12838878758149. The next prime is 12838878758177. The reversal of 12838878758160 is 6185787883821.

12838878758160 is a `hidden beast` number, since 1 + 2 + 8 + 38 + 8 + 7 + 8 + 7 + 581 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31443310 + ... + 31849010.

It is an arithmetic number, because the mean of its divisors is an integer number (60217536456).

Almost surely, 2^{12838878758160} is an apocalyptic number.

12838878758160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12838878758160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28904417498880).

12838878758160 is an abundant number, since it is smaller than the sum of its proper divisors (44969956239600).

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

12838878758160 is a wasteful number, since it uses less digits than its factorization.

12838878758160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405773 (or 405754 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 72.

The spelling of 12838878758160 in words is "twelve trillion, eight hundred thirty-eight billion, eight hundred seventy-eight million, seven hundred fifty-eight thousand, one hundred sixty".