10052342465664 has 128 divisors (see below), whose sum is σ = 27627524078400. Its totient is φ = 3234622132224.

The previous prime is 10052342465531. The next prime is 10052342465677. The reversal of 10052342465664 is 46656424325001.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60463419 + ... + 60629445.

Almost surely, 2^{10052342465664} 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 10052342465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813762039200).

10052342465664 is an abundant number, since it is smaller than the sum of its proper divisors (17575181612736).

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

10052342465664 is a wasteful number, since it uses less digits than its factorization.

10052342465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171510 (or 171498 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 10052342465664 in words is "ten trillion, fifty-two billion, three hundred forty-two million, four hundred sixty-five thousand, six hundred sixty-four".