109958400000 has 864 divisors, whose sum is σ = 419198794560. Its totient is φ = 27709440000.

The previous prime is 109958399953. The next prime is 109958400037. The reversal of 109958400000 is 4859901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1324799959 + ... + 1324800041.

It is an arithmetic number, because the mean of its divisors is an integer number (485183790).

Almost surely, 2^109958400000 is an apocalyptic number.

109958400000 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 109958400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209599397280).

109958400000 is an abundant number, since it is smaller than the sum of its proper divisors (309240394560).

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

109958400000 is an frugal number, since it uses more digits than its factorization.

109958400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 109958400000 in words is "one hundred nine billion, nine hundred fifty-eight million, four hundred thousand".