13875034792320 has 768 divisors, whose sum is σ = 52000199596800. Its totient is φ = 3388868001792.

The previous prime is 13875034792237. The next prime is 13875034792343. The reversal of 13875034792320 is 2329743057831.

It is a happy number.

13875034792320 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 503 + 47 + 92 + 3 + 2 + 0 = 666.

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, 5601546922 + ... + 5601549398.

It is an arithmetic number, because the mean of its divisors is an integer number (67708593225).

Almost surely, 2^{13875034792320} is an apocalyptic number.

13875034792320 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 13875034792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26000099798400).

13875034792320 is an abundant number, since it is smaller than the sum of its proper divisors (38125164804480).

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

13875034792320 is a wasteful number, since it uses less digits than its factorization.

13875034792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 13875034792320 in words is "thirteen trillion, eight hundred seventy-five billion, thirty-four million, seven hundred ninety-two thousand, three hundred twenty".