527166346080 has 384 divisors, whose sum is σ = 1836962426880. Its totient is φ = 126010357760.

The previous prime is 527166346061. The next prime is 527166346127. The reversal of 527166346080 is 80643661725.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325611511 + ... + 325613129.

It is an arithmetic number, because the mean of its divisors is an integer number (4783756320).

Almost surely, 2^527166346080 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 527166346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918481213440).

527166346080 is an abundant number, since it is smaller than the sum of its proper divisors (1309796080800).

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

527166346080 is a wasteful number, since it uses less digits than its factorization.

527166346080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 527166346080 in words is "five hundred twenty-seven billion, one hundred sixty-six million, three hundred forty-six thousand, eighty".