523267879680 has 2592 divisors, whose sum is σ = 2493644025600. Its totient is φ = 103840579584.

The previous prime is 523267879669. The next prime is 523267879709. The reversal of 523267879680 is 86978762325.

523267879680 is a `hidden beast` number, since 523 + 26 + 7 + 8 + 7 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 3764517051 + ... + 3764517189.

Almost surely, 2^523267879680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523267879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246822012800).

523267879680 is an abundant number, since it is smaller than the sum of its proper divisors (1970376145920).

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

523267879680 is a wasteful number, since it uses less digits than its factorization.

523267879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 523267879680 in words is "five hundred twenty-three billion, two hundred sixty-seven million, eight hundred seventy-nine thousand, six hundred eighty".