16875075140352 has 1296 divisors, whose sum is σ = 61665046037504. Its totient is φ = 4567211827200.

The previous prime is 16875075140347. The next prime is 16875075140401. The reversal of 16875075140352 is 25304157057861.

16875075140352 is a `hidden beast` number, since 1 + 6 + 8 + 75 + 0 + 7 + 514 + 0 + 3 + 52 = 666.

16875075140352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3033445923 + ... + 3033451485.

Almost surely, 2^{16875075140352} is an apocalyptic number.

16875075140352 is a gapful number since it is divisible by the number (12) 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 16875075140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30832523018752).

16875075140352 is an abundant number, since it is smaller than the sum of its proper divisors (44789970897152).

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

16875075140352 is a wasteful number, since it uses less digits than its factorization.

16875075140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5623 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 16875075140352 in words is "sixteen trillion, eight hundred seventy-five billion, seventy-five million, one hundred forty thousand, three hundred fifty-two".