11623478800 has 30 divisors (see below), whose sum is σ = 27925408778. Its totient is φ = 4649391360.

The previous prime is 11623478791. The next prime is 11623478809. The reversal of 11623478800 is 887432611.

It is an interprime number because it is at equal distance from previous prime (11623478791) and next prime (11623478809).

It can be written as a sum of positive squares in 3 ways, for example, as 913936 + 11622564864 = 956^2 + 107808^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11623478809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14528949 + ... + 14529748.

Almost surely, 2^11623478800 is an apocalyptic number.

11623478800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11623478800 is an abundant number, since it is smaller than the sum of its proper divisors (16301929978).

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

11623478800 is a wasteful number, since it uses less digits than its factorization.

11623478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29058715 (or 29058704 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 11623478800 in words is "eleven billion, six hundred twenty-three million, four hundred seventy-eight thousand, eight hundred".