2175119878400 has 648 divisors, whose sum is σ = 6625968410880. Its totient is φ = 702907269120.

The previous prime is 2175119878387. The next prime is 2175119878433. The reversal of 2175119878400 is 48789115712.

It is a super-2 number, since 2×2175119878400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1328722382 + ... + 1328724018.

Almost surely, 2^{2175119878400} is an apocalyptic number.

2175119878400 is a gapful number since it is divisible by the number (20) 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 2175119878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312984205440).

2175119878400 is an abundant number, since it is smaller than the sum of its proper divisors (4450848532480).

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

2175119878400 is a wasteful number, since it uses less digits than its factorization.

2175119878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 53.

The spelling of 2175119878400 in words is "two trillion, one hundred seventy-five billion, one hundred nineteen million, eight hundred seventy-eight thousand, four hundred".