10771283640 has 256 divisors, whose sum is σ = 38450764800. Its totient is φ = 2386796544.

The previous prime is 10771283603. The next prime is 10771283641. The reversal of 10771283640 is 4638217701.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10771283641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 601131 + ... + 618789.

It is an arithmetic number, because the mean of its divisors is an integer number (150198300).

Almost surely, 2^10771283640 is an apocalyptic number.

10771283640 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 10771283640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19225382400).

10771283640 is an abundant number, since it is smaller than the sum of its proper divisors (27679481160).

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

10771283640 is a wasteful number, since it uses less digits than its factorization.

10771283640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17726 (or 17722 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 10771283640 in words is "ten billion, seven hundred seventy-one million, two hundred eighty-three thousand, six hundred forty".