10682125153536 has 288 divisors, whose sum is σ = 30485203660800. Its totient is φ = 3310502952960.

The previous prime is 10682125153529. The next prime is 10682125153543. The reversal of 10682125153536 is 63535152128601.

It is an interprime number because it is at equal distance from previous prime (10682125153529) and next prime (10682125153543).

It is a super-2 number, since 2×10682125153536² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522573076 + ... + 522593516.

It is an arithmetic number, because the mean of its divisors is an integer number (105851401600).

Almost surely, 2^{10682125153536} is an apocalyptic number.

10682125153536 is a gapful number since it is divisible by the number (16) 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 10682125153536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15242601830400).

10682125153536 is an abundant number, since it is smaller than the sum of its proper divisors (19803078507264).

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

10682125153536 is a wasteful number, since it uses less digits than its factorization.

10682125153536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21145 (or 21131 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 10682125153536 in words is "ten trillion, six hundred eighty-two billion, one hundred twenty-five million, one hundred fifty-three thousand, five hundred thirty-six".