109876621824 has 480 divisors, whose sum is σ = 353098025280. Its totient is φ = 34004385792.

The previous prime is 109876621817. The next prime is 109876621853. The reversal of 109876621824 is 428126678901.

It is a happy number.

109876621824 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 7 + 6 + 621 + 8 + 2 + 4 = 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 47 ways as a sum of consecutive naturals, for example, 125286474 + ... + 125287350.

It is an arithmetic number, because the mean of its divisors is an integer number (735620886).

Almost surely, 2^109876621824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109876621824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176549012640).

109876621824 is an abundant number, since it is smaller than the sum of its proper divisors (243221403456).

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

109876621824 is an frugal number, since it uses more digits than its factorization.

109876621824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 109876621824 in words is "one hundred nine billion, eight hundred seventy-six million, six hundred twenty-one thousand, eight hundred twenty-four".