109153459958400 has 2304 divisors, whose sum is σ = 473931791424000. Its totient is φ = 24370871500800.

The previous prime is 109153459958383. The next prime is 109153459958429. The reversal of 109153459958400 is 4859954351901.

109153459958400 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 5 + 3 + 45 + 9 + 9 + 584 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 105056265081 + ... + 105056266119.

It is an arithmetic number, because the mean of its divisors is an integer number (205699562250).

Almost surely, 2^{109153459958400} is an apocalyptic number.

109153459958400 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 109153459958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236965895712000).

109153459958400 is an abundant number, since it is smaller than the sum of its proper divisors (364778331465600).

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

109153459958400 is a wasteful number, since it uses less digits than its factorization.

109153459958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 109153459958400 in words is "one hundred nine trillion, one hundred fifty-three billion, four hundred fifty-nine million, nine hundred fifty-eight thousand, four hundred".