11064134400 has 216 divisors, whose sum is σ = 39834158784. Its totient is φ = 2682163200.

The previous prime is 11064134387. The next prime is 11064134401. The reversal of 11064134400 is 443146011.

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

It is not an unprimeable number, because it can be changed into a prime (11064134401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185007 + ... + 237393.

Almost surely, 2^11064134400 is an apocalyptic number.

11064134400 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 11064134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19917079392).

11064134400 is an abundant number, since it is smaller than the sum of its proper divisors (28770024384).

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

11064134400 is a wasteful number, since it uses less digits than its factorization.

11064134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52427 (or 52408 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 11064134400 in words is "eleven billion, sixty-four million, one hundred thirty-four thousand, four hundred".