11327413888 has 384 divisors, whose sum is σ = 30139776000. Its totient is φ = 4201021440.

The previous prime is 11327413883. The next prime is 11327413897. The reversal of 11327413888 is 88831472311.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (11327413883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76022838 + ... + 76022986.

It is an arithmetic number, because the mean of its divisors is an integer number (78489000).

Almost surely, 2^11327413888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11327413888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069888000).

11327413888 is an abundant number, since it is smaller than the sum of its proper divisors (18812362112).

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

11327413888 is a wasteful number, since it uses less digits than its factorization.

11327413888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The spelling of 11327413888 in words is "eleven billion, three hundred twenty-seven million, four hundred thirteen thousand, eight hundred eighty-eight".