110742269721600 has 3168 divisors, whose sum is σ = 432268028075520. Its totient is φ = 24949201305600.

The previous prime is 110742269721481. The next prime is 110742269721613. The reversal of 110742269721600 is 6127962247011.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 110742269721600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1075167667149 + ... + 1075167667251.

Almost surely, 2^{110742269721600} is an apocalyptic number.

110742269721600 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 110742269721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216134014037760).

110742269721600 is an abundant number, since it is smaller than the sum of its proper divisors (321525758353920).

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

110742269721600 is a wasteful number, since it uses less digits than its factorization.

110742269721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 110742269721600 in words is "one hundred ten trillion, seven hundred forty-two billion, two hundred sixty-nine million, seven hundred twenty-one thousand, six hundred".