1151511680 has 64 divisors (see below), whose sum is σ = 3003108480. Its totient is φ = 418728960.

The previous prime is 1151511679. The next prime is 1151511719. The reversal of 1151511680 is 861151511.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74744 + ... + 88823.

It is an arithmetic number, because the mean of its divisors is an integer number (46923570).

Almost surely, 2^1151511680 is an apocalyptic number.

1151511680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1151511680 is an abundant number, since it is smaller than the sum of its proper divisors (1851596800).

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

1151511680 is a wasteful number, since it uses less digits than its factorization.

1151511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163597 (or 163585 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 29.

The square root of 1151511680 is about 33933.9311014801. The cubic root of 1151511680 is about 1048.1484163287.

The spelling of 1151511680 in words is "one billion, one hundred fifty-one million, five hundred eleven thousand, six hundred eighty".