1135008000 has 432 divisors, whose sum is σ = 4675821696. Its totient is φ = 258969600.

The previous prime is 1135007999. The next prime is 1135008013. The reversal of 1135008000 is 8005311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015719 + ... + 2016281.

Almost surely, 2^1135008000 is an apocalyptic number.

1135008000 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 1135008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337910848).

1135008000 is an abundant number, since it is smaller than the sum of its proper divisors (3540813696).

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

1135008000 is an equidigital number, since it uses as much as digits as its factorization.

1135008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1135008000 is about 33689.8797860723. The cubic root of 1135008000 is about 1043.1168821077.

The spelling of 1135008000 in words is "one billion, one hundred thirty-five million, eight thousand".