325493791524000 has 1536 divisors, whose sum is σ = 1325087835402240. Its totient is φ = 76921574400000.

The previous prime is 325493791523977. The next prime is 325493791524007. The reversal of 325493791524000 is 425197394523.

It is a happy number.

325493791524000 is a `hidden beast` number, since 3 + 2 + 5 + 49 + 3 + 79 + 1 + 524 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (325493791524007) 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 255 ways as a sum of consecutive naturals, for example, 97951786339 + ... + 97951789661.

It is an arithmetic number, because the mean of its divisors is an integer number (862687392840).

Almost surely, 2^{325493791524000} is an apocalyptic number.

325493791524000 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 325493791524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662543917701120).

325493791524000 is an abundant number, since it is smaller than the sum of its proper divisors (999594043878240).

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

325493791524000 is a wasteful number, since it uses less digits than its factorization.

325493791524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 5396 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 325493791524000 in words is "three hundred twenty-five trillion, four hundred ninety-three billion, seven hundred ninety-one million, five hundred twenty-four thousand".