523253741826816 has 3456 divisors, whose sum is σ = 2251326026880000. Its totient is φ = 117498709278720.

The previous prime is 523253741826769. The next prime is 523253741826887. The reversal of 523253741826816 is 618628147352325.

523253741826816 is a `hidden beast` number, since 5 + 2 + 3 + 2 + 5 + 374 + 182 + 6 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81899158150 + ... + 81899164538.

It is an arithmetic number, because the mean of its divisors is an integer number (651425355000).

Almost surely, 2^{523253741826816} is an apocalyptic number.

523253741826816 is a gapful number since it is divisible by the number (56) 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 523253741826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125663013440000).

523253741826816 is an abundant number, since it is smaller than the sum of its proper divisors (1728072285053184).

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

523253741826816 is a wasteful number, since it uses less digits than its factorization.

523253741826816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6533 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 523253741826816 in words is "five hundred twenty-three trillion, two hundred fifty-three billion, seven hundred forty-one million, eight hundred twenty-six thousand, eight hundred sixteen".