1125550080 has 480 divisors, whose sum is σ = 4281076800. Its totient is φ = 282230784.

The previous prime is 1125550079. The next prime is 1125550091. The reversal of 1125550080 is 800555211.

1125550080 is a `hidden beast` number, since 11 + 25 + 550 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19077091 + ... + 19077149.

It is an arithmetic number, because the mean of its divisors is an integer number (8918910).

Almost surely, 2^1125550080 is an apocalyptic number.

1125550080 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 1125550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140538400).

1125550080 is an abundant number, since it is smaller than the sum of its proper divisors (3155526720).

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

1125550080 is an equidigital number, since it uses as much as digits as its factorization.

1125550080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 1125550080 is about 33549.2187688477. The cubic root of 1125550080 is about 1040.2113968695.

The spelling of 1125550080 in words is "one billion, one hundred twenty-five million, five hundred fifty thousand, eighty".