109008153902400 has 672 divisors, whose sum is σ = 386717585240448. Its totient is φ = 26780250931200.

The previous prime is 109008153902393. The next prime is 109008153902423. The reversal of 109008153902400 is 4209351800901.

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 95 ways as a sum of consecutive naturals, for example, 1872609295 + ... + 1872667505.

It is an arithmetic number, because the mean of its divisors is an integer number (575472597084).

Almost surely, 2^{109008153902400} is an apocalyptic number.

109008153902400 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 109008153902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193358792620224).

109008153902400 is an abundant number, since it is smaller than the sum of its proper divisors (277709431338048).

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

109008153902400 is a wasteful number, since it uses less digits than its factorization.

109008153902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58739 (or 58724 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 109008153902400 in words is "one hundred nine trillion, eight billion, one hundred fifty-three million, nine hundred two thousand, four hundred".