13829312054250 has 768 divisors, whose sum is σ = 48840845114880. Its totient is φ = 2863594944000.

The previous prime is 13829312054231. The next prime is 13829312054251. The reversal of 13829312054250 is 5245021392831.

13829312054250 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 9 + 31 + 20 + 542 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13829312054196 and 13829312054205.

It is not an unprimeable number, because it can be changed into a prime (13829312054251) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1066000764 + ... + 1066013736.

It is an arithmetic number, because the mean of its divisors is an integer number (63594850410).

Almost surely, 2^{13829312054250} is an apocalyptic number.

13829312054250 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 13829312054250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24420422557440).

13829312054250 is an abundant number, since it is smaller than the sum of its proper divisors (35011533060630).

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

13829312054250 is a wasteful number, since it uses less digits than its factorization.

13829312054250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13317 (or 13294 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13829312054250 in words is "thirteen trillion, eight hundred twenty-nine billion, three hundred twelve million, fifty-four thousand, two hundred fifty".