11873601600 has 504 divisors, whose sum is σ = 47718329760. Its totient is φ = 2570158080.

The previous prime is 11873601589. The next prime is 11873601611. The reversal of 11873601600 is 610637811.

It is an interprime number because it is at equal distance from previous prime (11873601589) and next prime (11873601611).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4467472 + ... + 4470128.

Almost surely, 2^11873601600 is an apocalyptic number.

11873601600 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 11873601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23859164880).

11873601600 is an abundant number, since it is smaller than the sum of its proper divisors (35844728160).

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

11873601600 is a wasteful number, since it uses less digits than its factorization.

11873601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 11873601600 in words is "eleven billion, eight hundred seventy-three million, six hundred one thousand, six hundred".