523940272128 has 384 divisors, whose sum is σ = 1910217254400. Its totient is φ = 138180722688.

The previous prime is 523940272039. The next prime is 523940272169. The reversal of 523940272128 is 821272049325.

523940272128 is a `hidden beast` number, since 5 + 23 + 9 + 402 + 7 + 212 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 4979875 + ... + 5083997.

It is an arithmetic number, because the mean of its divisors is an integer number (4974524100).

Almost surely, 2^523940272128 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 523940272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955108627200).

523940272128 is an abundant number, since it is smaller than the sum of its proper divisors (1386276982272).

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

523940272128 is a wasteful number, since it uses less digits than its factorization.

523940272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104174 (or 104148 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 523940272128 in words is "five hundred twenty-three billion, nine hundred forty million, two hundred seventy-two thousand, one hundred twenty-eight".