11233680000 has 160 divisors (see below), whose sum is σ = 37288188960. Its totient is φ = 2995584000.

The previous prime is 11233679993. The next prime is 11233680011. The reversal of 11233680000 is 8633211.

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

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

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, 216597 + ... + 263403.

It is an arithmetic number, because the mean of its divisors is an integer number (233051181).

Almost surely, 2^11233680000 is an apocalyptic number.

11233680000 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 11233680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644094480).

11233680000 is an abundant number, since it is smaller than the sum of its proper divisors (26054508960).

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

11233680000 is an frugal number, since it uses more digits than its factorization.

11233680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46844 (or 46817 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 11233680000 in words is "eleven billion, two hundred thirty-three million, six hundred eighty thousand".