109621730044800 has 1152 divisors, whose sum is σ = 427731935904000. Its totient is φ = 26637520896000.

The previous prime is 109621730044789. The next prime is 109621730044823. The reversal of 109621730044800 is 8440037126901.

109621730044800 is a `hidden beast` number, since 1 + 0 + 96 + 217 + 300 + 4 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1592864791 + ... + 1592933609.

It is an arithmetic number, because the mean of its divisors is an integer number (371295083250).

Almost surely, 2^{109621730044800} is an apocalyptic number.

109621730044800 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 109621730044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213865967952000).

109621730044800 is an abundant number, since it is smaller than the sum of its proper divisors (318110205859200).

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

109621730044800 is a wasteful number, since it uses less digits than its factorization.

109621730044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68980 (or 68960 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 109621730044800 in words is "one hundred nine trillion, six hundred twenty-one billion, seven hundred thirty million, forty-four thousand, eight hundred".