2851484860800 has 576 divisors, whose sum is σ = 10836881655600. Its totient is φ = 739837255680.

The previous prime is 2851484860709. The next prime is 2851484860841. The reversal of 2851484860800 is 80684841582.

2851484860800 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 484 + 86 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2851484860800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 28721646 + ... + 28820754.

Almost surely, 2^{2851484860800} is an apocalyptic number.

2851484860800 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 2851484860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418440827800).

2851484860800 is an abundant number, since it is smaller than the sum of its proper divisors (7985396794800).

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

2851484860800 is an equidigital number, since it uses as much as digits as its factorization.

2851484860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99185 (or 99156 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 2851484860800 in words is "two trillion, eight hundred fifty-one billion, four hundred eighty-four million, eight hundred sixty thousand, eight hundred".