527495950080 has 1440 divisors, whose sum is σ = 2187630244800. Its totient is φ = 120147148800.

The previous prime is 527495950013. The next prime is 527495950103. The reversal of 527495950080 is 80059594725.

527495950080 is a `hidden beast` number, since 5 + 2 + 7 + 4 + 9 + 59 + 500 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 527495949999 and 527495950026.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1356030526 + ... + 1356030914.

It is an arithmetic number, because the mean of its divisors is an integer number (1519187670).

Almost surely, 2^527495950080 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 527495950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093815122400).

527495950080 is an abundant number, since it is smaller than the sum of its proper divisors (1660134294720).

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

527495950080 is a wasteful number, since it uses less digits than its factorization.

527495950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 527495950080 in words is "five hundred twenty-seven billion, four hundred ninety-five million, nine hundred fifty thousand, eighty".