110035872672 has 48 divisors (see below), whose sum is σ = 315102729312. Its totient is φ = 33344203520.

The previous prime is 110035872659. The next prime is 110035872701. The reversal of 110035872672 is 276278530011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×110035872672³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52099263 + ... + 52101374.

It is an arithmetic number, because the mean of its divisors is an integer number (6564640194).

Almost surely, 2^110035872672 is an apocalyptic number.

110035872672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110035872672 is an abundant number, since it is smaller than the sum of its proper divisors (205066856640).

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

110035872672 is a wasteful number, since it uses less digits than its factorization.

110035872672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104200661 (or 104200653 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 110035872672 in words is "one hundred ten billion, thirty-five million, eight hundred seventy-two thousand, six hundred seventy-two".