325411117200 has 1440 divisors, whose sum is σ = 1326490349184. Its totient is φ = 76082872320.

The previous prime is 325411117193. The next prime is 325411117217. The reversal of 325411117200 is 2711114523.

325411117200 is a `hidden beast` number, since 3 + 2 + 541 + 1 + 117 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2879744344 + ... + 2879744456.

Almost surely, 2^325411117200 is an apocalyptic number.

325411117200 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 325411117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663245174592).

325411117200 is an abundant number, since it is smaller than the sum of its proper divisors (1001079231984).

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

325411117200 is a wasteful number, since it uses less digits than its factorization.

325411117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 325411117200 in words is "three hundred twenty-five billion, four hundred eleven million, one hundred seventeen thousand, two hundred".