1155258720 has 768 divisors, whose sum is σ = 5295144960. Its totient is φ = 228096000.

The previous prime is 1155258707. The next prime is 1155258757. The reversal of 1155258720 is 278525511.

1155258720 is a `hidden beast` number, since 1 + 1 + 5 + 52 + 587 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7650645 + ... + 7650795.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^1155258720 is an apocalyptic number.

1155258720 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 1155258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647572480).

1155258720 is an abundant number, since it is smaller than the sum of its proper divisors (4139886240).

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

1155258720 is a wasteful number, since it uses less digits than its factorization.

1155258720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 1155258720 is about 33989.0970753858. The cubic root of 1155258720 is about 1049.2840834094.

The spelling of 1155258720 in words is "one billion, one hundred fifty-five million, two hundred fifty-eight thousand, seven hundred twenty".