109326811776 has 768 divisors, whose sum is σ = 392419883520. Its totient is φ = 26630553600.

The previous prime is 109326811739. The next prime is 109326811879. The reversal of 109326811776 is 677118623901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253658281 + ... + 253658711.

It is an arithmetic number, because the mean of its divisors is an integer number (510963390).

Almost surely, 2^109326811776 is an apocalyptic number.

109326811776 is a gapful number since it is divisible by the number (16) 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 109326811776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196209941760).

109326811776 is an abundant number, since it is smaller than the sum of its proper divisors (283093071744).

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

109326811776 is a wasteful number, since it uses less digits than its factorization.

109326811776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 109326811776 in words is "one hundred nine billion, three hundred twenty-six million, eight hundred eleven thousand, seven hundred seventy-six".