1157968000 has 256 divisors, whose sum is σ = 3373344000. Its totient is φ = 395136000.

The previous prime is 1157967991. The next prime is 1157968013. The reversal of 1157968000 is 8697511.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5487895 + ... + 5488105.

It is an arithmetic number, because the mean of its divisors is an integer number (13177125).

Almost surely, 2^1157968000 is an apocalyptic number.

1157968000 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 1157968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686672000).

1157968000 is an abundant number, since it is smaller than the sum of its proper divisors (2215376000).

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

1157968000 is an frugal number, since it uses more digits than its factorization.

1157968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The square root of 1157968000 is about 34028.9288694193. The cubic root of 1157968000 is about 1050.1036934630.

The spelling of 1157968000 in words is "one billion, one hundred fifty-seven million, nine hundred sixty-eight thousand".