11072559982764 has 384 divisors, whose sum is σ = 31728566403072. Its totient is φ = 2939345418240.

The previous prime is 11072559982751. The next prime is 11072559982793. The reversal of 11072559982764 is 46728995527011.

It is a junction number, because it is equal to n+sod(n) for n = 11072559982695 and 11072559982704.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1928006877 + ... + 1928012619.

It is an arithmetic number, because the mean of its divisors is an integer number (82626475008).

Almost surely, 2^{11072559982764} is an apocalyptic number.

11072559982764 is a gapful number since it is divisible by the number (14) 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 11072559982764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864283201536).

11072559982764 is an abundant number, since it is smaller than the sum of its proper divisors (20656006420308).

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

11072559982764 is a wasteful number, since it uses less digits than its factorization.

11072559982764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6165 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 66.

The spelling of 11072559982764 in words is "eleven trillion, seventy-two billion, five hundred fifty-nine million, nine hundred eighty-two thousand, seven hundred sixty-four".