526400495712 has 1344 divisors, whose sum is σ = 2082913136640. Its totient is φ = 126978969600.

The previous prime is 526400495689. The next prime is 526400495713. The reversal of 526400495712 is 217594004625.

526400495712 is a `hidden beast` number, since 52 + 6 + 40 + 0 + 495 + 71 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526400495713) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1250357262 + ... + 1250357682.

It is an arithmetic number, because the mean of its divisors is an integer number (1549786560).

Almost surely, 2^526400495712 is an apocalyptic number.

526400495712 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 526400495712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041456568320).

526400495712 is an abundant number, since it is smaller than the sum of its proper divisors (1556512640928).

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

526400495712 is a wasteful number, since it uses less digits than its factorization.

526400495712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 526400495712 in words is "five hundred twenty-six billion, four hundred million, four hundred ninety-five thousand, seven hundred twelve".