11275998728960 has 648 divisors, whose sum is σ = 33561216186624. Its totient is φ = 3618479800320.

The previous prime is 11275998728957. The next prime is 11275998728971. The reversal of 11275998728960 is 6982789957211.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3462079652 + ... + 3462082908.

It is an arithmetic number, because the mean of its divisors is an integer number (51792000288).

Almost surely, 2^{11275998728960} is an apocalyptic number.

11275998728960 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 11275998728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16780608093312).

11275998728960 is an abundant number, since it is smaller than the sum of its proper divisors (22285217457664).

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

11275998728960 is a wasteful number, since it uses less digits than its factorization.

11275998728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3517 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 74.

The spelling of 11275998728960 in words is "eleven trillion, two hundred seventy-five billion, nine hundred ninety-eight million, seven hundred twenty-eight thousand, nine hundred sixty".