10862235675648 has 704 divisors, whose sum is σ = 39408359270400. Its totient is φ = 2920865660928.

The previous prime is 10862235675637. The next prime is 10862235675649. The reversal of 10862235675648 is 84657653226801.

10862235675648 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 2 + 2 + 3 + 5 + 67 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10862235675649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266478693 + ... + 266519451.

Almost surely, 2^{10862235675648} is an apocalyptic number.

10862235675648 is a gapful number since it is divisible by the number (18) 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 10862235675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19704179635200).

10862235675648 is an abundant number, since it is smaller than the sum of its proper divisors (28546123594752).

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

10862235675648 is an frugal number, since it uses more digits than its factorization.

10862235675648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40824 (or 40788 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 10862235675648 in words is "ten trillion, eight hundred sixty-two billion, two hundred thirty-five million, six hundred seventy-five thousand, six hundred forty-eight".