11623510506400 has 72 divisors (see below), whose sum is σ = 30558656206764. Its totient is φ = 4291757721600.

The previous prime is 11623510506371. The next prime is 11623510506403. The reversal of 11623510506400 is 460501532611.

It can be written as a sum of positive squares in 6 ways, for example, as 5280748848144 + 6342761658256 = 2297988^2 + 2518484^2 .

It is not an unprimeable number, because it can be changed into a prime (11623510506403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558812221 + ... + 558833020.

Almost surely, 2^{11623510506400} is an apocalyptic number.

11623510506400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11623510506400 is an abundant number, since it is smaller than the sum of its proper divisors (18935145700364).

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

11623510506400 is a wasteful number, since it uses less digits than its factorization.

11623510506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117645274 (or 1117645261 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 11623510506400 in words is "eleven trillion, six hundred twenty-three billion, five hundred ten million, five hundred six thousand, four hundred".