109070025768 has 640 divisors, whose sum is σ = 367660339200. Its totient is φ = 29841177600.

The previous prime is 109070025709. The next prime is 109070025781. The reversal of 109070025768 is 867520070901.

109070025768 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 70 + 0 + 2 + 576 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 348466380 + ... + 348466692.

It is an arithmetic number, because the mean of its divisors is an integer number (574469280).

Almost surely, 2^109070025768 is an apocalyptic number.

109070025768 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 109070025768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183830169600).

109070025768 is an abundant number, since it is smaller than the sum of its proper divisors (258590313432).

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

109070025768 is a wasteful number, since it uses less digits than its factorization.

109070025768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 109070025768 in words is "one hundred nine billion, seventy million, twenty-five thousand, seven hundred sixty-eight".