527379578880 has 1440 divisors, whose sum is σ = 2249001054720. Its totient is φ = 102393446400.

The previous prime is 527379578813. The next prime is 527379578893. The reversal of 527379578880 is 88875973725.

It is a super-2 number, since 2×527379578880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17012244465 + ... + 17012244495.

It is an arithmetic number, because the mean of its divisors is an integer number (1561806288).

Almost surely, 2^527379578880 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 527379578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124500527360).

527379578880 is an abundant number, since it is smaller than the sum of its proper divisors (1721621475840).

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

527379578880 is a wasteful number, since it uses less digits than its factorization.

527379578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 69.

The spelling of 527379578880 in words is "five hundred twenty-seven billion, three hundred seventy-nine million, five hundred seventy-eight thousand, eight hundred eighty".