526797250560 has 672 divisors, whose sum is σ = 2164575434112. Its totient is φ = 120394874880.

The previous prime is 526797250489. The next prime is 526797250583. The reversal of 526797250560 is 65052797625.

526797250560 is a `hidden beast` number, since 5 + 2 + 6 + 7 + 9 + 72 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 526797250497 and 526797250506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69669180 + ... + 69676740.

It is an arithmetic number, because the mean of its divisors is an integer number (3221094396).

Almost surely, 2^526797250560 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 526797250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082287717056).

526797250560 is an abundant number, since it is smaller than the sum of its proper divisors (1637778183552).

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

526797250560 is an frugal number, since it uses more digits than its factorization.

526797250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7614 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 526797250560 in words is "five hundred twenty-six billion, seven hundred ninety-seven million, two hundred fifty thousand, five hundred sixty".