2187256299552 has 720 divisors, whose sum is σ = 7015315174560. Its totient is φ = 666579124224.

The previous prime is 2187256299541. The next prime is 2187256299583. The reversal of 2187256299552 is 2559926527812.

2187256299552 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 2 + 56 + 29 + 9 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2187256299552.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13418750223 + ... + 13418750385.

It is an arithmetic number, because the mean of its divisors is an integer number (9743493298).

Almost surely, 2^{2187256299552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187256299552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507657587280).

2187256299552 is an abundant number, since it is smaller than the sum of its proper divisors (4828058875008).

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

2187256299552 is a wasteful number, since it uses less digits than its factorization.

2187256299552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 337 counting only the distinct ones).

The product of its digits is 54432000, while the sum is 63.

The spelling of 2187256299552 in words is "two trillion, one hundred eighty-seven billion, two hundred fifty-six million, two hundred ninety-nine thousand, five hundred fifty-two".