109887916358400 has 432 divisors, whose sum is σ = 368054342014464. Its totient is φ = 28870109757440.

The previous prime is 109887916358369. The next prime is 109887916358449. The reversal of 109887916358400 is 4853619788901.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362171557 + ... + 362474843.

It is an arithmetic number, because the mean of its divisors is an integer number (851977643552).

Almost surely, 2^{109887916358400} is an apocalyptic number.

109887916358400 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 109887916358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184027171007232).

109887916358400 is an abundant number, since it is smaller than the sum of its proper divisors (258166425656064).

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

109887916358400 is a wasteful number, since it uses less digits than its factorization.

109887916358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303596 (or 303577 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 69.

The spelling of 109887916358400 in words is "one hundred nine trillion, eight hundred eighty-seven billion, nine hundred sixteen million, three hundred fifty-eight thousand, four hundred".