526061298672 has 240 divisors, whose sum is σ = 1870441617408. Its totient is φ = 134265807360.

The previous prime is 526061298661. The next prime is 526061298677. The reversal of 526061298672 is 276892160625.

526061298672 is a `hidden beast` number, since 5 + 2 + 606 + 1 + 29 + 8 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526061298677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241278 + ... + 1053725.

Almost surely, 2^526061298672 is an apocalyptic number.

526061298672 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 526061298672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935220808704).

526061298672 is an abundant number, since it is smaller than the sum of its proper divisors (1344380318736).

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

526061298672 is a wasteful number, since it uses less digits than its factorization.

526061298672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295068 (or 1295059 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 526061298672 in words is "five hundred twenty-six billion, sixty-one million, two hundred ninety-eight thousand, six hundred seventy-two".