11351272680 has 384 divisors, whose sum is σ = 41729126400. Its totient is φ = 2652249600.

The previous prime is 11351272679. The next prime is 11351272687. The reversal of 11351272680 is 8627215311.

11351272680 is a `hidden beast` number, since 1 + 13 + 512 + 72 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11351272687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13214091 + ... + 13214949.

It is an arithmetic number, because the mean of its divisors is an integer number (108669600).

Almost surely, 2^11351272680 is an apocalyptic number.

11351272680 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 11351272680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20864563200).

11351272680 is an abundant number, since it is smaller than the sum of its proper divisors (30377853720).

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

11351272680 is a wasteful number, since it uses less digits than its factorization.

11351272680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 11351272680 its reverse (8627215311), we get a palindrome (19978487991).

The spelling of 11351272680 in words is "eleven billion, three hundred fifty-one million, two hundred seventy-two thousand, six hundred eighty".