11072248738560 has 432 divisors, whose sum is σ = 39666636959040. Its totient is φ = 2848137707520.

The previous prime is 11072248738451. The next prime is 11072248738673. The reversal of 11072248738560 is 6583784227011.

11072248738560 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 2 + 2 + 4 + 8 + 73 + 8 + 560 = 666.

It is a super-2 number, since 2×11072248738560² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11072248738497 and 11072248738506.

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, 373152525 + ... + 373182195.

Almost surely, 2^{11072248738560} is an apocalyptic number.

11072248738560 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 11072248738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19833318479520).

11072248738560 is an abundant number, since it is smaller than the sum of its proper divisors (28594388220480).

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

11072248738560 is a wasteful number, since it uses less digits than its factorization.

11072248738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30844 (or 30827 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 11072248738560 in words is "eleven trillion, seventy-two billion, two hundred forty-eight million, seven hundred thirty-eight thousand, five hundred sixty".