11287718400 has 480 divisors, whose sum is σ = 43535606400. Its totient is φ = 2577039360.

The previous prime is 11287718389. The next prime is 11287718413. The reversal of 11287718400 is 481778211.

It is a tau number, because it is divible by the number of its divisors (480).

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, 13170772 + ... + 13171628.

It is an arithmetic number, because the mean of its divisors is an integer number (90699180).

Almost surely, 2^11287718400 is an apocalyptic number.

11287718400 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 11287718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767803200).

11287718400 is an abundant number, since it is smaller than the sum of its proper divisors (32247888000).

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

11287718400 is an frugal number, since it uses more digits than its factorization.

11287718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 39.

The spelling of 11287718400 in words is "eleven billion, two hundred eighty-seven million, seven hundred eighteen thousand, four hundred".