526423322880 has 1296 divisors, whose sum is σ = 2381684497920. Its totient is φ = 106206363648.

The previous prime is 526423322837. The next prime is 526423322899. The reversal of 526423322880 is 88223324625.

It is a happy number.

526423322880 is a `hidden beast` number, since 526 + 4 + 23 + 3 + 2 + 28 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 168777961 + ... + 168781079.

It is an arithmetic number, because the mean of its divisors is an integer number (1837719520).

Almost surely, 2^526423322880 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 526423322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190842248960).

526423322880 is an abundant number, since it is smaller than the sum of its proper divisors (1855261175040).

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

526423322880 is a wasteful number, since it uses less digits than its factorization.

526423322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 526423322880 in words is "five hundred twenty-six billion, four hundred twenty-three million, three hundred twenty-two thousand, eight hundred eighty".