1151720000 has 70 divisors (see below), whose sum is σ = 2855990478. Its totient is φ = 460672000.

The previous prime is 1151719997. The next prime is 1151720027. The reversal of 1151720000 is 271511.

It can be written as a sum of positive squares in 5 ways, for example, as 586802176 + 564917824 = 24224^2 + 23768^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25604 + ... + 54396.

Almost surely, 2^1151720000 is an apocalyptic number.

1151720000 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 1151720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427995239).

1151720000 is an abundant number, since it is smaller than the sum of its proper divisors (1704270478).

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

1151720000 is an frugal number, since it uses more digits than its factorization.

1151720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28825 (or 28800 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 1151720000 is about 33937.0004567286. Note that the first 3 decimals coincide. The cubic root of 1151720000 is about 1048.2116193675.

Adding to 1151720000 its reverse (271511), we get a palindrome (1151991511).

Subtracting from 1151720000 its reverse (271511), we obtain a square (1151448489 = 33933²).

The spelling of 1151720000 in words is "one billion, one hundred fifty-one million, seven hundred twenty thousand".