1875007304352 has 1536 divisors, whose sum is σ = 7374186086400. Its totient is φ = 450087321600.

The previous prime is 1875007304341. The next prime is 1875007304363. The reversal of 1875007304352 is 2534037005781.

1875007304352 is a `hidden beast` number, since 1 + 87 + 500 + 7 + 30 + 4 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1875007304341) and next prime (1875007304363).

It is a junction number, because it is equal to n+sod(n) for n = 1875007304298 and 1875007304307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2898001693 + ... + 2898002339.

It is an arithmetic number, because the mean of its divisors is an integer number (4800902400).

Almost surely, 2^{1875007304352} is an apocalyptic number.

1875007304352 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 1875007304352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687093043200).

1875007304352 is an abundant number, since it is smaller than the sum of its proper divisors (5499178782048).

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

1875007304352 is a wasteful number, since it uses less digits than its factorization.

1875007304352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1875007304352 in words is "one trillion, eight hundred seventy-five billion, seven million, three hundred four thousand, three hundred fifty-two".