527652127164960 has 1152 divisors, whose sum is σ = 2204744690663424. Its totient is φ = 116617963438080.

The previous prime is 527652127164949. The next prime is 527652127164961. The reversal of 527652127164960 is 69461721256725.

It is a happy number.

527652127164960 is a `hidden beast` number, since 5 + 2 + 7 + 6 + 5 + 2 + 127 + 16 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (527652127164961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10318376512 + ... + 10318427648.

It is an arithmetic number, because the mean of its divisors is an integer number (1913840877312).

Almost surely, 2^{527652127164960} 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 527652127164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102372345331712).

527652127164960 is an abundant number, since it is smaller than the sum of its proper divisors (1677092563498464).

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

527652127164960 is a wasteful number, since it uses less digits than its factorization.

527652127164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52428 (or 52408 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 527652127164960 in words is "five hundred twenty-seven trillion, six hundred fifty-two billion, one hundred twenty-seven million, one hundred sixty-four thousand, nine hundred sixty".