109979670528 has 1728 divisors, whose sum is σ = 458800524000. Its totient is φ = 24970788864.

The previous prime is 109979670523. The next prime is 109979670533. The reversal of 109979670528 is 825076979901.

109979670528 is a `hidden beast` number, since 10 + 9 + 9 + 7 + 96 + 7 + 0 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (109979670523) and next prime (109979670533).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109979670523) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3792402418 + ... + 3792402446.

Almost surely, 2^109979670528 is an apocalyptic number.

109979670528 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 109979670528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229400262000).

109979670528 is an abundant number, since it is smaller than the sum of its proper divisors (348820853472).

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

109979670528 is a wasteful number, since it uses less digits than its factorization.

109979670528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 109979670528 in words is "one hundred nine billion, nine hundred seventy-nine million, six hundred seventy thousand, five hundred twenty-eight".