11901830304 has 576 divisors, whose sum is σ = 41351772672. Its totient is φ = 2967552000.

The previous prime is 11901830251. The next prime is 11901830327. The reversal of 11901830304 is 40303810911.

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, 117839854 + ... + 117839954.

It is an arithmetic number, because the mean of its divisors is an integer number (71791272).

Almost surely, 2^11901830304 is an apocalyptic number.

11901830304 is a gapful number since it is divisible by the number (14) 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 11901830304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20675886336).

11901830304 is an abundant number, since it is smaller than the sum of its proper divisors (29449942368).

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

11901830304 is a wasteful number, since it uses less digits than its factorization.

11901830304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 11901830304 in words is "eleven billion, nine hundred one million, eight hundred thirty thousand, three hundred four".