2852536320000 has 1080 divisors, whose sum is σ = 10635505364484. Its totient is φ = 736100352000.

The previous prime is 2852536319993. The next prime is 2852536320001. The reversal of 2852536320000 is 236352582.

2852536320000 is a `hidden beast` number, since 2 + 85 + 253 + 6 + 320 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 52027785216 + 2800508534784 = 228096^2 + 1673472^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2852536320001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39075839964 + ... + 39075840036.

Almost surely, 2^{2852536320000} is an apocalyptic number.

2852536320000 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 2852536320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317752682242).

2852536320000 is an abundant number, since it is smaller than the sum of its proper divisors (7782969044484).

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

2852536320000 is an frugal number, since it uses more digits than its factorization.

2852536320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 2852536320000 in words is "two trillion, eight hundred fifty-two billion, five hundred thirty-six million, three hundred twenty thousand".