526051942272 has 192 divisors, whose sum is σ = 1542819564000. Its totient is φ = 172017561600.

The previous prime is 526051942231. The next prime is 526051942277. The reversal of 526051942272 is 272249150625.

526051942272 is a `hidden beast` number, since 5 + 2 + 60 + 519 + 4 + 2 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526051942277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12661629 + ... + 12703107.

Almost surely, 2^526051942272 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 526051942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771409782000).

526051942272 is an abundant number, since it is smaller than the sum of its proper divisors (1016767621728).

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

526051942272 is a wasteful number, since it uses less digits than its factorization.

526051942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41709 (or 41694 counting only the distinct ones).

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

The spelling of 526051942272 in words is "five hundred twenty-six billion, fifty-one million, nine hundred forty-two thousand, two hundred seventy-two".