10270206864 has 160 divisors (see below), whose sum is σ = 30125571840. Its totient is φ = 3348753408.

The previous prime is 10270206841. The next prime is 10270206911. The reversal of 10270206864 is 46860207201.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14126469 + ... + 14127195.

It is an arithmetic number, because the mean of its divisors is an integer number (188284824).

Almost surely, 2^10270206864 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 10270206864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15062785920).

10270206864 is an abundant number, since it is smaller than the sum of its proper divisors (19855364976).

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

10270206864 is a wasteful number, since it uses less digits than its factorization.

10270206864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10270206864 in words is "ten billion, two hundred seventy million, two hundred six thousand, eight hundred sixty-four".