1875168460800 has 414 divisors, whose sum is σ = 6720649938548. Its totient is φ = 499793264640.

The previous prime is 1875168460793. The next prime is 1875168460801. The reversal of 1875168460800 is 80648615781.

It is a happy number.

1875168460800 is a `hidden beast` number, since 1 + 8 + 7 + 516 + 8 + 46 + 0 + 80 + 0 = 666.

It is a super-3 number, since 3×1875168460800³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1875168460801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 943717407 + ... + 943719393.

Almost surely, 2^{1875168460800} is an apocalyptic number.

1875168460800 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 1875168460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360324969274).

1875168460800 is an abundant number, since it is smaller than the sum of its proper divisors (4845481477748).

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

1875168460800 is an frugal number, since it uses more digits than its factorization.

1875168460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1875168460800 in words is "one trillion, eight hundred seventy-five billion, one hundred sixty-eight million, four hundred sixty thousand, eight hundred".