11884772250 has 512 divisors, whose sum is σ = 38947184640. Its totient is φ = 2654208000.

The previous prime is 11884772243. The next prime is 11884772297. The reversal of 11884772250 is 5227748811.

11884772250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11884772250² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 11884772196 and 11884772205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46244122 + ... + 46244378.

It is an arithmetic number, because the mean of its divisors is an integer number (76068720).

Almost surely, 2^11884772250 is an apocalyptic number.

11884772250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11884772250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473592320).

11884772250 is an abundant number, since it is smaller than the sum of its proper divisors (27062412390).

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

11884772250 is a wasteful number, since it uses less digits than its factorization.

11884772250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 11884772250 in words is "eleven billion, eight hundred eighty-four million, seven hundred seventy-two thousand, two hundred fifty".