110619984960 has 448 divisors, whose sum is σ = 407376172800. Its totient is φ = 28222193664.

The previous prime is 110619984953. The next prime is 110619984961. The reversal of 110619984960 is 69489916011.

110619984960 is a `hidden beast` number, since 1 + 1 + 0 + 61 + 9 + 98 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 110619984897 and 110619984906.

It is not an unprimeable number, because it can be changed into a prime (110619984961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28311327 + ... + 28315233.

Almost surely, 2^110619984960 is an apocalyptic number.

110619984960 is a gapful number since it is divisible by the number (10) 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 110619984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203688086400).

110619984960 is an abundant number, since it is smaller than the sum of its proper divisors (296756187840).

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

110619984960 is a wasteful number, since it uses less digits than its factorization.

110619984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 110619984960 in words is "one hundred ten billion, six hundred nineteen million, nine hundred eighty-four thousand, nine hundred sixty".