527218732096 has 112 divisors (see below), whose sum is σ = 1201411579392. Its totient is φ = 224865331200.

The previous prime is 527218732069. The next prime is 527218732129. The reversal of 527218732096 is 690237812725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143381010 + ... + 143384686.

Almost surely, 2^527218732096 is an apocalyptic number.

527218732096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527218732096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600705789696).

527218732096 is an abundant number, since it is smaller than the sum of its proper divisors (674192847296).

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

527218732096 is a wasteful number, since it uses less digits than its factorization.

527218732096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5148 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 527218732096 in words is "five hundred twenty-seven billion, two hundred eighteen million, seven hundred thirty-two thousand, ninety-six".