11533098000 has 160 divisors (see below), whose sum is σ = 37707800832. Its totient is φ = 3032064000.

The previous prime is 11533097999. The next prime is 11533098001. The reversal of 11533098000 is 89033511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11533097999) and next prime (11533098001).

It is a super-3 number, since 3×11533098000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11533098001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412464 + ... + 439536.

Almost surely, 2^11533098000 is an apocalyptic number.

11533098000 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 11533098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18853900416).

11533098000 is an abundant number, since it is smaller than the sum of its proper divisors (26174702832).

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

11533098000 is a wasteful number, since it uses less digits than its factorization.

11533098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27170 (or 27154 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 11533098000 in words is "eleven billion, five hundred thirty-three million, ninety-eight thousand".