10282705864704 has 2880 divisors, whose sum is σ = 41198038801920. Its totient is φ = 2528292372480.

The previous prime is 10282705864693. The next prime is 10282705864721. The reversal of 10282705864704 is 40746850728201.

10282705864704 is a `hidden beast` number, since 1 + 0 + 28 + 2 + 70 + 5 + 86 + 470 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140858984412 + ... + 140858984484.

It is an arithmetic number, because the mean of its divisors is an integer number (14304874584).

Almost surely, 2^{10282705864704} is an apocalyptic number.

10282705864704 is a gapful number since it is divisible by the number (14) 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 10282705864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20599019400960).

10282705864704 is an abundant number, since it is smaller than the sum of its proper divisors (30915332937216).

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

10282705864704 is a wasteful number, since it uses less digits than its factorization.

10282705864704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 10282705864704 in words is "ten trillion, two hundred eighty-two billion, seven hundred five million, eight hundred sixty-four thousand, seven hundred four".