11047676445960 has 1024 divisors, whose sum is σ = 43555553280000. Its totient is φ = 2173645393920.

The previous prime is 11047676445943. The next prime is 11047676445961. The reversal of 11047676445960 is 6954467674011.

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 = 11047676445894 and 11047676445903.

It is not an unprimeable number, because it can be changed into a prime (11047676445961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10107663174 + ... + 10107664266.

It is an arithmetic number, because the mean of its divisors is an integer number (42534720000).

Almost surely, 2^{11047676445960} is an apocalyptic number.

11047676445960 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 11047676445960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21777776640000).

11047676445960 is an abundant number, since it is smaller than the sum of its proper divisors (32507876834040).

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

11047676445960 is a wasteful number, since it uses less digits than its factorization.

11047676445960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 11047676445960 in words is "eleven trillion, forty-seven billion, six hundred seventy-six million, four hundred forty-five thousand, nine hundred sixty".