527080467760 has 480 divisors, whose sum is σ = 1592763056640. Its totient is φ = 160357478400.

The previous prime is 527080467743. The next prime is 527080467763. The reversal of 527080467760 is 67764080725.

It is a junction number, because it is equal to n+sod(n) for n = 527080467698 and 527080467707.

It is not an unprimeable number, because it can be changed into a prime (527080467763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327581836 + ... + 327583444.

It is an arithmetic number, because the mean of its divisors is an integer number (3318256368).

Almost surely, 2^527080467760 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 527080467760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796381528320).

527080467760 is an abundant number, since it is smaller than the sum of its proper divisors (1065682588880).

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

527080467760 is a wasteful number, since it uses less digits than its factorization.

527080467760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 527080467760 in words is "five hundred twenty-seven billion, eighty million, four hundred sixty-seven thousand, seven hundred sixty".