11602004400 has 540 divisors, whose sum is σ = 47425926600. Its totient is φ = 2618542080.

The previous prime is 11602004387. The next prime is 11602004441. The reversal of 11602004400 is 440020611.

11602004400 is a `hidden beast` number, since 1 + 1 + 60 + 200 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15699231 + ... + 15699969.

It is an arithmetic number, because the mean of its divisors is an integer number (87825790).

Almost surely, 2^11602004400 is an apocalyptic number.

11602004400 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 11602004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712963300).

11602004400 is an abundant number, since it is smaller than the sum of its proper divisors (35823922200).

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

11602004400 is a wasteful number, since it uses less digits than its factorization.

11602004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 11602004400 in words is "eleven billion, six hundred two million, four thousand, four hundred".