10279414370264 has 128 divisors (see below), whose sum is σ = 21623527833600. Its totient is φ = 4549086904320.

The previous prime is 10279414370189. The next prime is 10279414370311. The reversal of 10279414370264 is 46207341497201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314849189 + ... + 314881835.

It is an arithmetic number, because the mean of its divisors is an integer number (168933811200).

Almost surely, 2^{10279414370264} 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 10279414370264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10811763916800).

10279414370264 is an abundant number, since it is smaller than the sum of its proper divisors (11344113463336).

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

10279414370264 is a wasteful number, since it uses less digits than its factorization.

10279414370264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33593 (or 33589 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 10279414370264 in words is "ten trillion, two hundred seventy-nine billion, four hundred fourteen million, three hundred seventy thousand, two hundred sixty-four".