1155840000 has 480 divisors, whose sum is σ = 4503058560. Its totient is φ = 258048000.

The previous prime is 1155839983. The next prime is 1155840029. The reversal of 1155840000 is 485511.

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

It is a super-2 number, since 2×1155840000² = 2671932211200000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 26879979 + ... + 26880021.

It is an arithmetic number, because the mean of its divisors is an integer number (9381372).

Almost surely, 2^1155840000 is an apocalyptic number.

1155840000 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 1155840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251529280).

1155840000 is an abundant number, since it is smaller than the sum of its proper divisors (3347218560).

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

1155840000 is an frugal number, since it uses more digits than its factorization.

1155840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 1155840000 is about 33997.6469774012. The cubic root of 1155840000 is about 1049.4600398346.

The spelling of 1155840000 in words is "one billion, one hundred fifty-five million, eight hundred forty thousand".