523348750080 has 1152 divisors, whose sum is σ = 2062865629440. Its totient is φ = 126414618624.

The previous prime is 523348750079. The next prime is 523348750087. The reversal of 523348750080 is 80057843325.

523348750080 is a `hidden beast` number, since 5 + 23 + 3 + 48 + 7 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523348750087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2656592542 + ... + 2656592738.

It is an arithmetic number, because the mean of its divisors is an integer number (1790681970).

Almost surely, 2^523348750080 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 523348750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031432814720).

523348750080 is an abundant number, since it is smaller than the sum of its proper divisors (1539516879360).

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

523348750080 is an equidigital number, since it uses as much as digits as its factorization.

523348750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 523348750080 in words is "five hundred twenty-three billion, three hundred forty-eight million, seven hundred fifty thousand, eighty".