11985200640 has 800 divisors, whose sum is σ = 51335285760. Its totient is φ = 2613067776.

The previous prime is 11985200609. The next prime is 11985200659. The reversal of 11985200640 is 4600258911.

11985200640 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 5 + 2 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11985200595 and 11985200604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33384781 + ... + 33385139.

Almost surely, 2^11985200640 is an apocalyptic number.

11985200640 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 11985200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25667642880).

11985200640 is an abundant number, since it is smaller than the sum of its proper divisors (39350085120).

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

11985200640 is an equidigital number, since it uses as much as digits as its factorization.

11985200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11985200640 in words is "eleven billion, nine hundred eighty-five million, two hundred thousand, six hundred forty".