11993856000 has 768 divisors, whose sum is σ = 48080148480. Its totient is φ = 2595225600.

The previous prime is 11993855947. The next prime is 11993856067. The reversal of 11993856000 is 65839911.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 123647952 + ... + 123648048.

It is an arithmetic number, because the mean of its divisors is an integer number (62604360).

Almost surely, 2^11993856000 is an apocalyptic number.

11993856000 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 11993856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040074240).

11993856000 is an abundant number, since it is smaller than the sum of its proper divisors (36086292480).

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

11993856000 is an equidigital number, since it uses as much as digits as its factorization.

11993856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 11993856000 in words is "eleven billion, nine hundred ninety-three million, eight hundred fifty-six thousand".