1135680000 has 600 divisors, whose sum is σ = 4678727328. Its totient is φ = 239616000.

The previous prime is 1135679959. The next prime is 1135680001. The reversal of 1135680000 is 865311.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1135680001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 87359994 + ... + 87360006.

Almost surely, 2^1135680000 is an apocalyptic number.

1135680000 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 1135680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339363664).

1135680000 is an abundant number, since it is smaller than the sum of its proper divisors (3543047328).

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

1135680000 is an frugal number, since it uses more digits than its factorization.

1135680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1135680000 is about 33699.8516317209. The cubic root of 1135680000 is about 1043.3227062807.

The spelling of 1135680000 in words is "one billion, one hundred thirty-five million, six hundred eighty thousand".