2187288675000 has 1152 divisors, whose sum is σ = 8774511520320. Its totient is φ = 485222400000.

The previous prime is 2187288674959. The next prime is 2187288675041. The reversal of 2187288675000 is 5768827812.

2187288675000 is a `hidden beast` number, since 2 + 1 + 8 + 72 + 8 + 8 + 67 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2187288674959) and next prime (2187288675041).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5051474784 + ... + 5051475216.

Almost surely, 2^{2187288675000} is an apocalyptic number.

2187288675000 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 2187288675000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387255760160).

2187288675000 is an abundant number, since it is smaller than the sum of its proper divisors (6587222845320).

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

2187288675000 is a wasteful number, since it uses less digits than its factorization.

2187288675000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 2187288675000 in words is "two trillion, one hundred eighty-seven billion, two hundred eighty-eight million, six hundred seventy-five thousand".