11050061132880 has 1280 divisors, whose sum is σ = 49927570145280. Its totient is φ = 2196193443840.

The previous prime is 11050061132839. The next prime is 11050061132897. The reversal of 11050061132880 is 8823116005011.

11050061132880 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 0 + 0 + 611 + 32 + 8 + 8 + 0 = 666.

11050061132880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 462856624 + ... + 462880496.

It is an arithmetic number, because the mean of its divisors is an integer number (39005914176).

Almost surely, 2^{11050061132880} is an apocalyptic number.

11050061132880 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 11050061132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24963785072640).

11050061132880 is an abundant number, since it is smaller than the sum of its proper divisors (38877509012400).

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

11050061132880 is a wasteful number, since it uses less digits than its factorization.

11050061132880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23958 (or 23924 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 11050061132880 its reverse (8823116005011), we get a palindrome (19873177137891).

The spelling of 11050061132880 in words is "eleven trillion, fifty billion, sixty-one million, one hundred thirty-two thousand, eight hundred eighty".