11850288408 has 192 divisors, whose sum is σ = 38111723520. Its totient is φ = 3255033600.

The previous prime is 11850288349. The next prime is 11850288433. The reversal of 11850288408 is 80488205811.

11850288408 is a `hidden beast` number, since 118 + 50 + 2 + 88 + 408 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2450553 + ... + 2455383.

It is an arithmetic number, because the mean of its divisors is an integer number (198498560).

Almost surely, 2^11850288408 is an apocalyptic number.

11850288408 is a gapful number since it is divisible by the number (18) 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 11850288408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19055861760).

11850288408 is an abundant number, since it is smaller than the sum of its proper divisors (26261435112).

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

11850288408 is a wasteful number, since it uses less digits than its factorization.

11850288408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 11850288408 in words is "eleven billion, eight hundred fifty million, two hundred eighty-eight thousand, four hundred eight".