11623995600 has 480 divisors, whose sum is σ = 44873318400. Its totient is φ = 2568384000.

The previous prime is 11623995589. The next prime is 11623995613. The reversal of 11623995600 is 659932611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12759145 + ... + 12760055.

It is an arithmetic number, because the mean of its divisors is an integer number (93486080).

Almost surely, 2^11623995600 is an apocalyptic number.

11623995600 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 11623995600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22436659200).

11623995600 is an abundant number, since it is smaller than the sum of its proper divisors (33249322800).

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

11623995600 is a wasteful number, since it uses less digits than its factorization.

11623995600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 11623995600 in words is "eleven billion, six hundred twenty-three million, nine hundred ninety-five thousand, six hundred".