11948815228560 has 320 divisors, whose sum is σ = 43658548150272. Its totient is φ = 2646635378688.

The previous prime is 11948815228507. The next prime is 11948815228579. The reversal of 11948815228560 is 6582251884911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 11948815228494 and 11948815228503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8523282 + ... + 9825678.

Almost surely, 2^{11948815228560} is an apocalyptic number.

11948815228560 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 11948815228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21829274075136).

11948815228560 is an abundant number, since it is smaller than the sum of its proper divisors (31709732921712).

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

11948815228560 is a wasteful number, since it uses less digits than its factorization.

11948815228560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302590 (or 1302584 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 60.

The spelling of 11948815228560 in words is "eleven trillion, nine hundred forty-eight billion, eight hundred fifteen million, two hundred twenty-eight thousand, five hundred sixty".