109328597532000 has 6912 divisors, whose sum is σ = 547800484847616. Its totient is φ = 21123970560000.

The previous prime is 109328597531981. The next prime is 109328597532059. The reversal of 109328597532000 is 235795823901.

109328597532000 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 28 + 597 + 5 + 3 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 518145011895 + ... + 518145012105.

It is an arithmetic number, because the mean of its divisors is an integer number (79253542368).

Almost surely, 2^{109328597532000} is an apocalyptic number.

109328597532000 is a gapful number since it is divisible by the number (10) 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 109328597532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273900242423808).

109328597532000 is an abundant number, since it is smaller than the sum of its proper divisors (438471887315616).

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

109328597532000 is a wasteful number, since it uses less digits than its factorization.

109328597532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 109328597532000 in words is "one hundred nine trillion, three hundred twenty-eight billion, five hundred ninety-seven million, five hundred thirty-two thousand".