1155265056 has 288 divisors, whose sum is σ = 3998030400. Its totient is φ = 311869440.

The previous prime is 1155265043. The next prime is 1155265057. The reversal of 1155265056 is 6505625511.

1155265056 is a `hidden beast` number, since 1 + 1 + 552 + 6 + 50 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1155265056² = 2669274699229366272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1155265056.

It is not an unprimeable number, because it can be changed into a prime (1155265057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1022700 + ... + 1023828.

It is an arithmetic number, because the mean of its divisors is an integer number (13882050).

Almost surely, 2^1155265056 is an apocalyptic number.

1155265056 is a gapful number since it is divisible by the number (16) 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 1155265056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999015200).

1155265056 is an abundant number, since it is smaller than the sum of its proper divisors (2842765344).

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

1155265056 is a wasteful number, since it uses less digits than its factorization.

1155265056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 1155265056 is about 33989.1902816175. The cubic root of 1155265056 is about 1049.2860016671.

The spelling of 1155265056 in words is "one billion, one hundred fifty-five million, two hundred sixty-five thousand, fifty-six".