523661967360 has 768 divisors, whose sum is σ = 2152651737600. Its totient is φ = 119630462976.

The previous prime is 523661967359. The next prime is 523661967373. The reversal of 523661967360 is 63769166325.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 523661967297 and 523661967306.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 278690901 + ... + 278692779.

It is an arithmetic number, because the mean of its divisors is an integer number (2802931950).

Almost surely, 2^523661967360 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 523661967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076325868800).

523661967360 is an abundant number, since it is smaller than the sum of its proper divisors (1628989770240).

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

523661967360 is an frugal number, since it uses more digits than its factorization.

523661967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 523661967360 in words is "five hundred twenty-three billion, six hundred sixty-one million, nine hundred sixty-seven thousand, three hundred sixty".