11283921600 has 336 divisors, whose sum is σ = 43346558976. Its totient is φ = 2515968000.

The previous prime is 11283921599. The next prime is 11283921617. The reversal of 11283921600 is 612938211.

It is a tau number, because it is divible by the number of its divisors (336).

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, 1373505 + ... + 1381695.

It is an arithmetic number, because the mean of its divisors is an integer number (129007616).

Almost surely, 2^11283921600 is an apocalyptic number.

11283921600 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 11283921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21673279488).

11283921600 is an abundant number, since it is smaller than the sum of its proper divisors (32062637376).

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

11283921600 is a wasteful number, since it uses less digits than its factorization.

11283921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 11283921600 in words is "eleven billion, two hundred eighty-three million, nine hundred twenty-one thousand, six hundred".