11550470400 has 648 divisors, whose sum is σ = 48988989504. Its totient is φ = 2637619200.

The previous prime is 11550470369. The next prime is 11550470417. The reversal of 11550470400 is 407405511.

It is a happy number.

11550470400 is a `hidden beast` number, since 1 + 1 + 550 + 4 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×11550470400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10885870 + ... + 10886930.

Almost surely, 2^11550470400 is an apocalyptic number.

11550470400 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 11550470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494494752).

11550470400 is an abundant number, since it is smaller than the sum of its proper divisors (37438519104).

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

11550470400 is an equidigital number, since it uses as much as digits as its factorization.

11550470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

Adding to 11550470400 its reverse (407405511), we get a palindrome (11957875911).

The spelling of 11550470400 in words is "eleven billion, five hundred fifty million, four hundred seventy thousand, four hundred".