1151719560 has 160 divisors (see below), whose sum is σ = 3885508440. Its totient is φ = 305980416.

The previous prime is 1151719511. The next prime is 1151719567. The reversal of 1151719560 is 659171511.

It can be written as a sum of positive squares in 4 ways, for example, as 902521764 + 249197796 = 30042^2 + 15786^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1151719567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1208044 + ... + 1208996.

Almost surely, 2^1151719560 is an apocalyptic number.

1151719560 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 1151719560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942754220).

1151719560 is an abundant number, since it is smaller than the sum of its proper divisors (2733788880).

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

1151719560 is a wasteful number, since it uses less digits than its factorization.

1151719560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 36.

The square root of 1151719560 is about 33936.9939741280. The cubic root of 1151719560 is about 1048.2114858822.

The spelling of 1151719560 in words is "one billion, one hundred fifty-one million, seven hundred nineteen thousand, five hundred sixty".