527208694272 has 560 divisors, whose sum is σ = 1713167850240. Its totient is φ = 161046061056.

The previous prime is 527208694249. The next prime is 527208694301. The reversal of 527208694272 is 272496802725.

527208694272 is a `hidden beast` number, since 5 + 2 + 7 + 208 + 6 + 9 + 427 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 868547793 + ... + 868548399.

It is an arithmetic number, because the mean of its divisors is an integer number (3059228304).

Almost surely, 2^527208694272 is an apocalyptic number.

527208694272 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 527208694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856583925120).

527208694272 is an abundant number, since it is smaller than the sum of its proper divisors (1185959155968).

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

527208694272 is an equidigital number, since it uses as much as digits as its factorization.

527208694272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 527208694272 in words is "five hundred twenty-seven billion, two hundred eight million, six hundred ninety-four thousand, two hundred seventy-two".