1109552400 has 180 divisors, whose sum is σ = 4200646320. Its totient is φ = 268972800.

The previous prime is 1109552357. The next prime is 1109552401. The reversal of 1109552400 is 42559011.

1109552400 is a `hidden beast` number, since 1 + 109 + 552 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1109552400² = 2462213056691520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1109552401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25591 + ... + 53609.

It is an arithmetic number, because the mean of its divisors is an integer number (23336924).

Almost surely, 2^1109552400 is an apocalyptic number.

1109552400 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 1109552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100323160).

1109552400 is an abundant number, since it is smaller than the sum of its proper divisors (3091093920).

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

1109552400 is a wasteful number, since it uses less digits than its factorization.

1109552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28054 (or 28040 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1109552400 is about 33309.9444610765. The cubic root of 1109552400 is about 1035.2596142133.

The spelling of 1109552400 in words is "one billion, one hundred nine million, five hundred fifty-two thousand, four hundred".