526240160640 has 256 divisors, whose sum is σ = 1961861472000. Its totient is φ = 132944799744.

The previous prime is 526240160573. The next prime is 526240160651. The reversal of 526240160640 is 46061042625.

526240160640 is a `hidden beast` number, since 5 + 2 + 6 + 2 + 4 + 0 + 1 + 6 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 526240160595 and 526240160604.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 473094 + ... + 1129733.

It is an arithmetic number, because the mean of its divisors is an integer number (7663521375).

Almost surely, 2^526240160640 is an apocalyptic number.

It is an amenable number.

526240160640 is an abundant number, since it is smaller than the sum of its proper divisors (1435621311360).

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

526240160640 is a wasteful number, since it uses less digits than its factorization.

526240160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602874 (or 1602856 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 526240160640 in words is "five hundred twenty-six billion, two hundred forty million, one hundred sixty thousand, six hundred forty".