11938080000 has 1440 divisors, whose sum is σ = 55170339840. Its totient is φ = 2211840000.

The previous prime is 11938079977. The next prime is 11938080013. The reversal of 11938080000 is 8083911.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11938080000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 628319991 + ... + 628320009.

It is an arithmetic number, because the mean of its divisors is an integer number (38312736).

Almost surely, 2^11938080000 is an apocalyptic number.

11938080000 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 11938080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27585169920).

11938080000 is an abundant number, since it is smaller than the sum of its proper divisors (43232259840).

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

11938080000 is a wasteful number, since it uses less digits than its factorization.

11938080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 11938080000 in words is "eleven billion, nine hundred thirty-eight million, eighty thousand".