10270506320 has 80 divisors (see below), whose sum is σ = 24244823232. Its totient is φ = 4045578240.

The previous prime is 10270506307. The next prime is 10270506341. The reversal of 10270506320 is 2360507201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10270506320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2195504 + ... + 2200176.

Almost surely, 2^10270506320 is an apocalyptic number.

10270506320 is a gapful number since it is divisible by the number (10) 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 10270506320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12122411616).

10270506320 is an abundant number, since it is smaller than the sum of its proper divisors (13974316912).

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

10270506320 is a wasteful number, since it uses less digits than its factorization.

10270506320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The spelling of 10270506320 in words is "ten billion, two hundred seventy million, five hundred six thousand, three hundred twenty".