325296972000 has 3840 divisors, whose sum is σ = 1726130165760. Its totient is φ = 57729024000.

The previous prime is 325296971971. The next prime is 325296972079. The reversal of 325296972000 is 279692523.

It is a happy number.

325296972000 is a `hidden beast` number, since 32 + 529 + 6 + 97 + 2 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5513507971 + ... + 5513508029.

It is an arithmetic number, because the mean of its divisors is an integer number (449513064).

Almost surely, 2^325296972000 is an apocalyptic number.

325296972000 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 325296972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863065082880).

325296972000 is an abundant number, since it is smaller than the sum of its proper divisors (1400833193760).

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

325296972000 is a wasteful number, since it uses less digits than its factorization.

325296972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 325296972000 in words is "three hundred twenty-five billion, two hundred ninety-six million, nine hundred seventy-two thousand".