2789985548160 has 512 divisors, whose sum is σ = 10433092032000. Its totient is φ = 702681661440.

The previous prime is 2789985548143. The next prime is 2789985548209. The reversal of 2789985548160 is 618455899872.

2789985548160 is a `hidden beast` number, since 2 + 7 + 8 + 9 + 9 + 8 + 554 + 8 + 1 + 60 = 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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108661084 + ... + 108686756.

It is an arithmetic number, because the mean of its divisors is an integer number (20377132875).

Almost surely, 2^{2789985548160} is an apocalyptic number.

2789985548160 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 2789985548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216546016000).

2789985548160 is an abundant number, since it is smaller than the sum of its proper divisors (7643106483840).

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

2789985548160 is a wasteful number, since it uses less digits than its factorization.

2789985548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26051 (or 26033 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 2789985548160 in words is "two trillion, seven hundred eighty-nine billion, nine hundred eighty-five million, five hundred forty-eight thousand, one hundred sixty".