109232928921600 has 1728 divisors, whose sum is σ = 446346906969600. Its totient is φ = 25271009280000.

The previous prime is 109232928921583. The next prime is 109232928921617. The reversal of 109232928921600 is 6129829232901.

109232928921600 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 3 + 2 + 9 + 2 + 8 + 9 + 21 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (109232928921583) and next prime (109232928921617).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70066021621 + ... + 70066023179.

It is an arithmetic number, because the mean of its divisors is an integer number (258302608200).

Almost surely, 2^{109232928921600} is an apocalyptic number.

109232928921600 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 109232928921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223173453484800).

109232928921600 is an abundant number, since it is smaller than the sum of its proper divisors (337113978048000).

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

109232928921600 is a wasteful number, since it uses less digits than its factorization.

109232928921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 109232928921600 in words is "one hundred nine trillion, two hundred thirty-two billion, nine hundred twenty-eight million, nine hundred twenty-one thousand, six hundred".