523951939342728 has 1024 divisors, whose sum is σ = 1638159344640000. Its totient is φ = 154146163691520.

The previous prime is 523951939342703. The next prime is 523951939342943. The reversal of 523951939342728 is 827243939159325.

523951939342728 is a `hidden beast` number, since 5 + 2 + 3 + 9 + 5 + 1 + 93 + 93 + 427 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 720704180301 + ... + 720704181027.

It is an arithmetic number, because the mean of its divisors is an integer number (1599764985000).

Almost surely, 2^{523951939342728} 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 523951939342728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819079672320000).

523951939342728 is an abundant number, since it is smaller than the sum of its proper divisors (1114207405297272).

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

523951939342728 is a wasteful number, since it uses less digits than its factorization.

523951939342728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1457 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 523951939342728 in words is "five hundred twenty-three trillion, nine hundred fifty-one billion, nine hundred thirty-nine million, three hundred forty-two thousand, seven hundred twenty-eight".