10771138080 has 384 divisors, whose sum is σ = 39253939200. Its totient is φ = 2756063232.

The previous prime is 10771138039. The next prime is 10771138099. The reversal of 10771138080 is 8083117701.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12626934 + ... + 12627786.

It is an arithmetic number, because the mean of its divisors is an integer number (102223800).

Almost surely, 2^10771138080 is an apocalyptic number.

10771138080 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 10771138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626969600).

10771138080 is an abundant number, since it is smaller than the sum of its proper divisors (28482801120).

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

10771138080 is a wasteful number, since it uses less digits than its factorization.

10771138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 10771138080 in words is "ten billion, seven hundred seventy-one million, one hundred thirty-eight thousand, eighty".