526328105472 has 240 divisors, whose sum is σ = 1687037647680. Its totient is φ = 161946390528.

The previous prime is 526328105467. The next prime is 526328105483. The reversal of 526328105472 is 274501823625.

526328105472 is a `hidden beast` number, since 5 + 2 + 632 + 8 + 1 + 0 + 5 + 4 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2223613 + ... + 2448899.

It is an arithmetic number, because the mean of its divisors is an integer number (7029323532).

Almost surely, 2^526328105472 is an apocalyptic number.

526328105472 is a gapful number since it is divisible by the number (52) 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 526328105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843518823840).

526328105472 is an abundant number, since it is smaller than the sum of its proper divisors (1160709542208).

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

526328105472 is a wasteful number, since it uses less digits than its factorization.

526328105472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225340 (or 225305 counting only the distinct ones).

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

The spelling of 526328105472 in words is "five hundred twenty-six billion, three hundred twenty-eight million, one hundred five thousand, four hundred seventy-two".