11081279291550 has 576 divisors, whose sum is σ = 30908917702656. Its totient is φ = 2624783616000.

The previous prime is 11081279291527. The next prime is 11081279291569. The reversal of 11081279291550 is 5519297218011.

It is a junction number, because it is equal to n+sod(n) for n = 11081279291493 and 11081279291502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17233715529 + ... + 17233716171.

It is an arithmetic number, because the mean of its divisors is an integer number (53661315456).

Almost surely, 2^{11081279291550} is an apocalyptic number.

11081279291550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11081279291550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15454458851328).

11081279291550 is an abundant number, since it is smaller than the sum of its proper divisors (19827638411106).

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

11081279291550 is a wasteful number, since it uses less digits than its factorization.

11081279291550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 51.

The spelling of 11081279291550 in words is "eleven trillion, eighty-one billion, two hundred seventy-nine million, two hundred ninety-one thousand, five hundred fifty".