109421964288 has 1320 divisors, whose sum is σ = 434839297200. Its totient is φ = 27088846848.

The previous prime is 109421964257. The next prime is 109421964299. The reversal of 109421964288 is 882469124901.

It is a happy number.

109421964288 is a `hidden beast` number, since 1 + 0 + 94 + 219 + 64 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1003871178 + ... + 1003871286.

It is an arithmetic number, because the mean of its divisors is an integer number (329423710).

Almost surely, 2^109421964288 is an apocalyptic number.

109421964288 is a gapful number since it is divisible by the number (18) 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 109421964288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217419648600).

109421964288 is an abundant number, since it is smaller than the sum of its proper divisors (325417332912).

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

109421964288 is a wasteful number, since it uses less digits than its factorization.

109421964288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 109421964288 in words is "one hundred nine billion, four hundred twenty-one million, nine hundred sixty-four thousand, two hundred eighty-eight".