110264794560 has 560 divisors, whose sum is σ = 415491716640. Its totient is φ = 27680071680.

The previous prime is 110264794529. The next prime is 110264794561. The reversal of 110264794560 is 65497462011.

110264794560 is a `hidden beast` number, since 1 + 10 + 2 + 6 + 4 + 79 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110264794561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89138262 + ... + 89139498.

It is an arithmetic number, because the mean of its divisors is an integer number (741949494).

Almost surely, 2^110264794560 is an apocalyptic number.

110264794560 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 110264794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207745858320).

110264794560 is an abundant number, since it is smaller than the sum of its proper divisors (305226922080).

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

110264794560 is a wasteful number, since it uses less digits than its factorization.

110264794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 110264794560 in words is "one hundred ten billion, two hundred sixty-four million, seven hundred ninety-four thousand, five hundred sixty".