1155940000 has 120 divisors (see below), whose sum is σ = 2943323460. Its totient is φ = 446208000.

The previous prime is 1155939989. The next prime is 1155940013. The reversal of 1155940000 is 495511.

It can be written as a sum of positive squares in 10 ways, for example, as 26173456 + 1129766544 = 5116^2 + 33612^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 579004 + ... + 580996.

Almost surely, 2^1155940000 is an apocalyptic number.

1155940000 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 1155940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471661730).

1155940000 is an abundant number, since it is smaller than the sum of its proper divisors (1787383460).

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

1155940000 is an equidigital number, since it uses as much as digits as its factorization.

1155940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1155940000 is about 33999.1176356093. The cubic root of 1155940000 is about 1049.4903043976.

The spelling of 1155940000 in words is "one billion, one hundred fifty-five million, nine hundred forty thousand".