109063532191200 has 1152 divisors, whose sum is σ = 401835530880000. Its totient is φ = 25528998297600.

The previous prime is 109063532191157. The next prime is 109063532191249. The reversal of 109063532191200 is 2191235360901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57736119856 + ... + 57736121744.

It is an arithmetic number, because the mean of its divisors is an integer number (348815565000).

Almost surely, 2^{109063532191200} is an apocalyptic number.

109063532191200 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 109063532191200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200917765440000).

109063532191200 is an abundant number, since it is smaller than the sum of its proper divisors (292771998688800).

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

109063532191200 is a wasteful number, since it uses less digits than its factorization.

109063532191200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 109063532191200 in words is "one hundred nine trillion, sixty-three billion, five hundred thirty-two million, one hundred ninety-one thousand, two hundred".