11275256720 has 240 divisors, whose sum is σ = 33193844208. Its totient is φ = 3530096640.

The previous prime is 11275256693. The next prime is 11275256747. The reversal of 11275256720 is 2765257211.

It is an interprime number because it is at equal distance from previous prime (11275256693) and next prime (11275256747).

It can be written as a sum of positive squares in 8 ways, for example, as 640697344 + 10634559376 = 25312^2 + 103124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4941980 + ... + 4944260.

Almost surely, 2^11275256720 is an apocalyptic number.

11275256720 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 11275256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596922104).

11275256720 is an abundant number, since it is smaller than the sum of its proper divisors (21918587488).

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

11275256720 is a wasteful number, since it uses less digits than its factorization.

11275256720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 11275256720 in words is "eleven billion, two hundred seventy-five million, two hundred fifty-six thousand, seven hundred twenty".