2851605985536 has 648 divisors, whose sum is σ = 10661713567232. Its totient is φ = 716768870400.

The previous prime is 2851605985531. The next prime is 2851605985559. The reversal of 2851605985536 is 6355895061582.

2851605985536 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 6 + 0 + 5 + 98 + 5 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2851605985531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60472560 + ... + 60519696.

Almost surely, 2^{2851605985536} 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 2851605985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330856783616).

2851605985536 is an abundant number, since it is smaller than the sum of its proper divisors (7810107581696).

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

2851605985536 is a wasteful number, since it uses less digits than its factorization.

2851605985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47219 (or 47191 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 2851605985536 in words is "two trillion, eight hundred fifty-one billion, six hundred five million, nine hundred eighty-five thousand, five hundred thirty-six".