11883270672 has 640 divisors, whose sum is σ = 44441600000. Its totient is φ = 3017710080.

The previous prime is 11883270647. The next prime is 11883270713. The reversal of 11883270672 is 27607238811.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59714829 + ... + 59715027.

It is an arithmetic number, because the mean of its divisors is an integer number (69440000).

Almost surely, 2^11883270672 is an apocalyptic number.

11883270672 is a gapful number since it is divisible by the number (12) 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 11883270672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22220800000).

11883270672 is an abundant number, since it is smaller than the sum of its proper divisors (32558329328).

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

11883270672 is a wasteful number, since it uses less digits than its factorization.

11883270672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 11883270672 in words is "eleven billion, eight hundred eighty-three million, two hundred seventy thousand, six hundred seventy-two".