110697516672 has 128 divisors (see below), whose sum is σ = 311075520000. Its totient is φ = 34780990464.

The previous prime is 110697516637. The next prime is 110697516673. The reversal of 110697516672 is 276615796011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (110697516673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413783 + ... + 1490025.

It is an arithmetic number, because the mean of its divisors is an integer number (2430277500).

Almost surely, 2^110697516672 is an apocalyptic number.

110697516672 is a gapful number since it is divisible by the number (12) 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 110697516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155537760000).

110697516672 is an abundant number, since it is smaller than the sum of its proper divisors (200378003328).

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

110697516672 is a wasteful number, since it uses less digits than its factorization.

110697516672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76478 (or 76466 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 110697516672 in words is "one hundred ten billion, six hundred ninety-seven million, five hundred sixteen thousand, six hundred seventy-two".