110552314400 has 288 divisors, whose sum is σ = 299690943552. Its totient is φ = 39488307200.

The previous prime is 110552314363. The next prime is 110552314489. The reversal of 110552314400 is 4413255011.

It is a self number, because there is not a number n which added to its sum of digits gives 110552314400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128998772 + ... + 128999628.

It is an arithmetic number, because the mean of its divisors is an integer number (1040593554).

Almost surely, 2^110552314400 is an apocalyptic number.

110552314400 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 110552314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149845471776).

110552314400 is an abundant number, since it is smaller than the sum of its proper divisors (189138629152).

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

110552314400 is a wasteful number, since it uses less digits than its factorization.

110552314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 110552314400 its reverse (4413255011), we get a palindrome (114965569411).

The spelling of 110552314400 in words is "one hundred ten billion, five hundred fifty-two million, three hundred fourteen thousand, four hundred".