2887789766400 has 1296 divisors, whose sum is σ = 13432235281920. Its totient is φ = 573950361600.

The previous prime is 2887789766359. The next prime is 2887789766419. The reversal of 2887789766400 is 46679877882.

2887789766400 is a `hidden beast` number, since 2 + 8 + 8 + 7 + 78 + 97 + 66 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101995446 + ... + 102023754.

Almost surely, 2^{2887789766400} is an apocalyptic number.

2887789766400 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 2887789766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716117640960).

2887789766400 is an abundant number, since it is smaller than the sum of its proper divisors (10544445515520).

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

2887789766400 is a wasteful number, since it uses less digits than its factorization.

2887789766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28382 (or 28360 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 2887789766400 in words is "two trillion, eight hundred eighty-seven billion, seven hundred eighty-nine million, seven hundred sixty-six thousand, four hundred".