11827408320 has 896 divisors, whose sum is σ = 52571904000. Its totient is φ = 2487324672.

The previous prime is 11827408319. The next prime is 11827408337. The reversal of 11827408320 is 2380472811.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38525607 + ... + 38525913.

It is an arithmetic number, because the mean of its divisors is an integer number (58674000).

Almost surely, 2^11827408320 is an apocalyptic number.

11827408320 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 11827408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26285952000).

11827408320 is an abundant number, since it is smaller than the sum of its proper divisors (40744495680).

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

11827408320 is a wasteful number, since it uses less digits than its factorization.

11827408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11827408320 in words is "eleven billion, eight hundred twenty-seven million, four hundred eight thousand, three hundred twenty".