526871009280 has 1152 divisors, whose sum is σ = 2221517975040. Its totient is φ = 103549501440.

The previous prime is 526871009263. The next prime is 526871009281. The reversal of 526871009280 is 82900178625.

It is a super-2 number, since 2×526871009280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526871009281) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 853923532 + ... + 853924148.

It is an arithmetic number, because the mean of its divisors is an integer number (1928401020).

Almost surely, 2^526871009280 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 526871009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110758987520).

526871009280 is an abundant number, since it is smaller than the sum of its proper divisors (1694646965760).

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

526871009280 is a wasteful number, since it uses less digits than its factorization.

526871009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 526871009280 in words is "five hundred twenty-six billion, eight hundred seventy-one million, nine thousand, two hundred eighty".