527855705664 has 224 divisors, whose sum is σ = 1637212473600. Its totient is φ = 146980085760.

The previous prime is 527855705567. The next prime is 527855705669. The reversal of 527855705664 is 466507558725.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 527855705598 and 527855705607.

It is not an unprimeable number, because it can be changed into a prime (527855705669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8906722 + ... + 8965790.

Almost surely, 2^527855705664 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 527855705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818606236800).

527855705664 is an abundant number, since it is smaller than the sum of its proper divisors (1109356767936).

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

527855705664 is a wasteful number, since it uses less digits than its factorization.

527855705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59261 (or 59251 counting only the distinct ones).

The product of its (nonzero) digits is 70560000, while the sum is 60.

The spelling of 527855705664 in words is "five hundred twenty-seven billion, eight hundred fifty-five million, seven hundred five thousand, six hundred sixty-four".