523319106240 has 1792 divisors, whose sum is σ = 2273564160000. Its totient is φ = 113148887040.

The previous prime is 523319106217. The next prime is 523319106269. The reversal of 523319106240 is 42601913325.

523319106240 is a `hidden beast` number, since 5 + 2 + 3 + 3 + 19 + 10 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 523319106195 and 523319106204.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7168754844 + ... + 7168754916.

It is an arithmetic number, because the mean of its divisors is an integer number (1268730000).

Almost surely, 2^523319106240 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 523319106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136782080000).

523319106240 is an abundant number, since it is smaller than the sum of its proper divisors (1750245053760).

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

523319106240 is a wasteful number, since it uses less digits than its factorization.

523319106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 523319106240 in words is "five hundred twenty-three billion, three hundred nineteen million, one hundred six thousand, two hundred forty".