526181641264640 has 160 divisors (see below), whose sum is σ = 1317333435264000. Its totient is φ = 201187333709824.

The previous prime is 526181641264633. The next prime is 526181641264673. The reversal of 526181641264640 is 46462146181625.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 85280297 + ... + 91241943.

It is an arithmetic number, because the mean of its divisors is an integer number (8233333970400).

Almost surely, 2^{526181641264640} 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 526181641264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658666717632000).

526181641264640 is an abundant number, since it is smaller than the sum of its proper divisors (791151793999360).

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

526181641264640 is a wasteful number, since it uses less digits than its factorization.

526181641264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5963192 (or 5963176 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 526181641264640 in words is "five hundred twenty-six trillion, one hundred eighty-one billion, six hundred forty-one million, two hundred sixty-four thousand, six hundred forty".