1157680000 has 160 divisors (see below), whose sum is σ = 2987325000. Its totient is φ = 446208000.

The previous prime is 1157679997. The next prime is 1157680019. The reversal of 1157680000 is 867511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2319751 + ... + 2320249.

Almost surely, 2^1157680000 is an apocalyptic number.

1157680000 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 1157680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493662500).

1157680000 is an abundant number, since it is smaller than the sum of its proper divisors (1829645000).

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

1157680000 is an frugal number, since it uses more digits than its factorization.

1157680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 1157680000 is about 34024.6969126839. The cubic root of 1157680000 is about 1050.0166286104.

The spelling of 1157680000 in words is "one billion, one hundred fifty-seven million, six hundred eighty thousand".