10262412065664 has 192 divisors, whose sum is σ = 32218963686000. Its totient is φ = 3109517475840.

The previous prime is 10262412065611. The next prime is 10262412065797. The reversal of 10262412065664 is 46656021426201.

10262412065664 is a `hidden beast` number, since 1 + 0 + 2 + 62 + 4 + 1 + 20 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152651322 + ... + 152718534.

Almost surely, 2^{10262412065664} 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 10262412065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109481843000).

10262412065664 is an abundant number, since it is smaller than the sum of its proper divisors (21956551620336).

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

10262412065664 is a wasteful number, since it uses less digits than its factorization.

10262412065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79293 (or 79278 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 10262412065664 in words is "ten trillion, two hundred sixty-two billion, four hundred twelve million, sixty-five thousand, six hundred sixty-four".