11672381952 has 480 divisors, whose sum is σ = 42713409024. Its totient is φ = 2980454400.

The previous prime is 11672381947. The next prime is 11672381977. The reversal of 11672381952 is 25918327611.

11672381952 is a `hidden beast` number, since 116 + 72 + 381 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11672381898 and 11672381907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23772427 + ... + 23772917.

Almost surely, 2^11672381952 is an apocalyptic number.

11672381952 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 11672381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21356704512).

11672381952 is an abundant number, since it is smaller than the sum of its proper divisors (31041027072).

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

11672381952 is a wasteful number, since it uses less digits than its factorization.

11672381952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 11672381952 in words is "eleven billion, six hundred seventy-two million, three hundred eighty-one thousand, nine hundred fifty-two".