2187868335120 has 960 divisors, whose sum is σ = 8852058432000. Its totient is φ = 494452408320.

The previous prime is 2187868335089. The next prime is 2187868335193. The reversal of 2187868335120 is 215338687812.

2187868335120 is a `hidden beast` number, since 2 + 18 + 7 + 86 + 8 + 33 + 512 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 254428581 + ... + 254437179.

It is an arithmetic number, because the mean of its divisors is an integer number (9220894200).

Almost surely, 2^{2187868335120} is an apocalyptic number.

2187868335120 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 2187868335120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426029216000).

2187868335120 is an abundant number, since it is smaller than the sum of its proper divisors (6664190096880).

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

2187868335120 is a wasteful number, since it uses less digits than its factorization.

2187868335120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2187868335120 in words is "two trillion, one hundred eighty-seven billion, eight hundred sixty-eight million, three hundred thirty-five thousand, one hundred twenty".