109616209920 has 672 divisors, whose sum is σ = 439425088128. Its totient is φ = 24758452224.

The previous prime is 109616209907. The next prime is 109616209931. The reversal of 109616209920 is 29902616901.

109616209920 is a `hidden beast` number, since 1 + 0 + 9 + 616 + 2 + 0 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276111162 + ... + 276111558.

Almost surely, 2^109616209920 is an apocalyptic number.

109616209920 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 109616209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219712544064).

109616209920 is an abundant number, since it is smaller than the sum of its proper divisors (329808878208).

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

109616209920 is a wasteful number, since it uses less digits than its factorization.

109616209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 109616209920 in words is "one hundred nine billion, six hundred sixteen million, two hundred nine thousand, nine hundred twenty".