1151657280 has 168 divisors, whose sum is σ = 4098112200. Its totient is φ = 296497152.

The previous prime is 1151657257. The next prime is 1151657293. The reversal of 1151657280 is 827561511.

1151657280 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 6 + 572 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 412252416 + 739404864 = 20304^2 + 27192^2 .

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 76626 + ... + 90414.

It is an arithmetic number, because the mean of its divisors is an integer number (24393525).

Almost surely, 2^1151657280 is an apocalyptic number.

1151657280 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 1151657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049056100).

1151657280 is an abundant number, since it is smaller than the sum of its proper divisors (2946454920).

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

1151657280 is a wasteful number, since it uses less digits than its factorization.

1151657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13841 (or 13828 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The square root of 1151657280 is about 33936.0763789805. The cubic root of 1151657280 is about 1048.1925912976.

The spelling of 1151657280 in words is "one billion, one hundred fifty-one million, six hundred fifty-seven thousand, two hundred eighty".