10270208256 has 144 divisors (see below), whose sum is σ = 34078614528. Its totient is φ = 2667571200.

The previous prime is 10270208237. The next prime is 10270208257. The reversal of 10270208256 is 65280207201.

It is a super-2 number, since 2×10270208256² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10270208257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27700 + ... + 145971.

Almost surely, 2^10270208256 is an apocalyptic number.

10270208256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10270208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039307264).

10270208256 is an abundant number, since it is smaller than the sum of its proper divisors (23808406272).

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

10270208256 is a wasteful number, since it uses less digits than its factorization.

10270208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173708 (or 173694 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10270208256 in words is "ten billion, two hundred seventy million, two hundred eight thousand, two hundred fifty-six".