1151144560 has 80 divisors (see below), whose sum is σ = 2793839040. Its totient is φ = 440545280.

The previous prime is 1151144557. The next prime is 1151144563. The reversal of 1151144560 is 654411511.

It is an interprime number because it is at equal distance from previous prime (1151144557) and next prime (1151144563).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151144563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259965 + ... + 264355.

It is an arithmetic number, because the mean of its divisors is an integer number (34922988).

Almost surely, 2^1151144560 is an apocalyptic number.

1151144560 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 1151144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396919520).

1151144560 is an abundant number, since it is smaller than the sum of its proper divisors (1642694480).

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

1151144560 is a wasteful number, since it uses less digits than its factorization.

1151144560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 1151144560 is about 33928.5213353014. The cubic root of 1151144560 is about 1048.0370157662.

The spelling of 1151144560 in words is "one billion, one hundred fifty-one million, one hundred forty-four thousand, five hundred sixty".