10682858265072 has 320 divisors, whose sum is σ = 33198221844480. Its totient is φ = 2896083735552.

The previous prime is 10682858265047. The next prime is 10682858265073. The reversal of 10682858265072 is 27056285828601.

It is a happy number.

It is a super-2 number, since 2×10682858265072² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10682858264997 and 10682858265015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10682858265073) 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, 343716829 + ... + 343747907.

It is an arithmetic number, because the mean of its divisors is an integer number (103744443264).

Almost surely, 2^{10682858265072} is an apocalyptic number.

10682858265072 is a gapful number since it is divisible by the number (12) 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 10682858265072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16599110922240).

10682858265072 is an abundant number, since it is smaller than the sum of its proper divisors (22515363579408).

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

10682858265072 is a wasteful number, since it uses less digits than its factorization.

10682858265072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31820 (or 31814 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 10682858265072 in words is "ten trillion, six hundred eighty-two billion, eight hundred fifty-eight million, two hundred sixty-five thousand, seventy-two".