1151146560 has 224 divisors, whose sum is σ = 3857743872. Its totient is φ = 290396160.

The previous prime is 1151146523. The next prime is 1151146603. The reversal of 1151146560 is 656411511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1398309 + ... + 1399131.

Almost surely, 2^1151146560 is an apocalyptic number.

1151146560 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 1151146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928871936).

1151146560 is an abundant number, since it is smaller than the sum of its proper divisors (2706597312).

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

1151146560 is a wasteful number, since it uses less digits than its factorization.

1151146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 1151146560 is about 33928.5508090163. The cubic root of 1151146560 is about 1048.0376227194.

The spelling of 1151146560 in words is "one billion, one hundred fifty-one million, one hundred forty-six thousand, five hundred sixty".