1151791680 has 224 divisors, whose sum is σ = 4036088448. Its totient is φ = 276480000.

The previous prime is 1151791643. The next prime is 1151791681. The reversal of 1151791680 is 861971511.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1151791681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510555 + ... + 512805.

It is an arithmetic number, because the mean of its divisors is an integer number (18018252).

Almost surely, 2^1151791680 is an apocalyptic number.

1151791680 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 1151791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018044224).

1151791680 is an abundant number, since it is smaller than the sum of its proper divisors (2884296768).

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

1151791680 is a wasteful number, since it uses less digits than its factorization.

1151791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 39.

The square root of 1151791680 is about 33938.0565147741. The cubic root of 1151791680 is about 1048.2333648873.

The spelling of 1151791680 in words is "one billion, one hundred fifty-one million, seven hundred ninety-one thousand, six hundred eighty".