327525022000 has 160 divisors (see below), whose sum is σ = 872511352128. Its totient is φ = 117920000000.

The previous prime is 327525021953. The next prime is 327525022061. The reversal of 327525022000 is 220525723.

It is a super-2 number, since 2×327525022000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 327525022000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2148300 + ... + 2295700.

Almost surely, 2^327525022000 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 327525022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436255676064).

327525022000 is an abundant number, since it is smaller than the sum of its proper divisors (544986330128).

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

327525022000 is a wasteful number, since it uses less digits than its factorization.

327525022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147536 (or 147520 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

Adding to 327525022000 its reverse (220525723), we get a palindrome (327745547723).

The spelling of 327525022000 in words is "three hundred twenty-seven billion, five hundred twenty-five million, twenty-two thousand".