10270548736 has 144 divisors (see below), whose sum is σ = 24053137920. Its totient is φ = 4286177280.

The previous prime is 10270548727. The next prime is 10270548751. The reversal of 10270548736 is 63784507201.

It is a junction number, because it is equal to n+sod(n) for n = 10270548692 and 10270548701.

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, 11323195 + ... + 11324101.

It is an arithmetic number, because the mean of its divisors is an integer number (167035680).

Almost surely, 2^10270548736 is an apocalyptic number.

10270548736 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 10270548736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026568960).

10270548736 is an abundant number, since it is smaller than the sum of its proper divisors (13782589184).

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

10270548736 is an frugal number, since it uses more digits than its factorization.

10270548736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 10270548736 in words is "ten billion, two hundred seventy million, five hundred forty-eight thousand, seven hundred thirty-six".