10882308666240 has 1024 divisors, whose sum is σ = 43467079680000. Its totient is φ = 2549184307200.

The previous prime is 10882308666211. The next prime is 10882308666247. The reversal of 10882308666240 is 4266680328801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10882308666247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6405124911 + ... + 6405126609.

It is an arithmetic number, because the mean of its divisors is an integer number (42448320000).

Almost surely, 2^{10882308666240} is an apocalyptic number.

10882308666240 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 10882308666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21733539840000).

10882308666240 is an abundant number, since it is smaller than the sum of its proper divisors (32584771013760).

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

10882308666240 is a wasteful number, since it uses less digits than its factorization.

10882308666240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 10882308666240 in words is "ten trillion, eight hundred eighty-two billion, three hundred eight million, six hundred sixty-six thousand, two hundred forty".