2987133811200 has 4800 divisors, whose sum is σ = 15277381042176. Its totient is φ = 557383680000.

The previous prime is 2987133811163. The next prime is 2987133811237. The reversal of 2987133811200 is 21183317892.

2987133811200 is a `hidden beast` number, since 29 + 87 + 1 + 338 + 11 + 200 = 666.

2987133811200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2987133811163) and next prime (2987133811237).

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 42072307165 + ... + 42072307235.

Almost surely, 2^{2987133811200} is an apocalyptic number.

2987133811200 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 2987133811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638690521088).

2987133811200 is an abundant number, since it is smaller than the sum of its proper divisors (12290247230976).

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

2987133811200 is a wasteful number, since it uses less digits than its factorization.

2987133811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2987133811200 in words is "two trillion, nine hundred eighty-seven billion, one hundred thirty-three million, eight hundred eleven thousand, two hundred".