11606456400 has 480 divisors, whose sum is σ = 47161267200. Its totient is φ = 2369740800.

The previous prime is 11606456371. The next prime is 11606456401. The reversal of 11606456400 is 465460611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11606456401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5450536 + ... + 5452664.

It is an arithmetic number, because the mean of its divisors is an integer number (98252640).

Almost surely, 2^11606456400 is an apocalyptic number.

11606456400 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 11606456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23580633600).

11606456400 is an abundant number, since it is smaller than the sum of its proper divisors (35554810800).

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

11606456400 is a wasteful number, since it uses less digits than its factorization.

11606456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 11606456400 in words is "eleven billion, six hundred six million, four hundred fifty-six thousand, four hundred".