1131511680 has 640 divisors, whose sum is σ = 4603072320. Its totient is φ = 262766592.

The previous prime is 1131511651. The next prime is 1131511709. The reversal of 1131511680 is 861151311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1131511651) and next prime (1131511709).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15500124 + ... + 15500196.

Almost surely, 2^1131511680 is an apocalyptic number.

1131511680 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 1131511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301536160).

1131511680 is an abundant number, since it is smaller than the sum of its proper divisors (3471560640).

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

1131511680 is a wasteful number, since it uses less digits than its factorization.

1131511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1131511680 is about 33637.9499969900. The cubic root of 1131511680 is about 1042.0446953344.

Adding to 1131511680 its reverse (861151311), we get a palindrome (1992662991).

The spelling of 1131511680 in words is "one billion, one hundred thirty-one million, five hundred eleven thousand, six hundred eighty".