325835136000 has 880 divisors, whose sum is σ = 1325169042912. Its totient is φ = 78962688000.

The previous prime is 325835135987. The next prime is 325835136007. The reversal of 325835136000 is 631538523.

325835136000 is a `hidden beast` number, since 3 + 2 + 5 + 8 + 35 + 13 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325835136007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 114046572 + ... + 114049428.

Almost surely, 2^325835136000 is an apocalyptic number.

325835136000 is a gapful number since it is divisible by the number (30) 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 325835136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662584521456).

325835136000 is an abundant number, since it is smaller than the sum of its proper divisors (999333906912).

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

325835136000 is a wasteful number, since it uses less digits than its factorization.

325835136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 325835136000 in words is "three hundred twenty-five billion, eight hundred thirty-five million, one hundred thirty-six thousand".