325128867840 has 1664 divisors, whose sum is σ = 1439183600640. Its totient is φ = 68797071360.

The previous prime is 325128867809. The next prime is 325128867841. The reversal of 325128867840 is 48768821523.

325128867840 is a `hidden beast` number, since 3 + 2 + 512 + 8 + 86 + 7 + 8 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325128867841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5329981410 + ... + 5329981470.

Almost surely, 2^325128867840 is an apocalyptic number.

325128867840 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 325128867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719591800320).

325128867840 is an abundant number, since it is smaller than the sum of its proper divisors (1114054732800).

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

325128867840 is an frugal number, since it uses more digits than its factorization.

325128867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 325128867840 in words is "three hundred twenty-five billion, one hundred twenty-eight million, eight hundred sixty-seven thousand, eight hundred forty".