10685171652480 has 1024 divisors, whose sum is σ = 41934307564800. Its totient is φ = 2554314227712.

The previous prime is 10685171652431. The next prime is 10685171652481. The reversal of 10685171652480 is 8425617158601.

10685171652480 is a `hidden beast` number, since 1 + 0 + 68 + 51 + 7 + 1 + 6 + 52 + 480 = 666.

It is a super-2 number, since 2×10685171652480² (a number of 27 digits) contains 22 as substring.

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 (10685171652481) 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, 6624408154 + ... + 6624409766.

Almost surely, 2^{10685171652480} is an apocalyptic number.

10685171652480 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 10685171652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20967153782400).

10685171652480 is an abundant number, since it is smaller than the sum of its proper divisors (31249135912320).

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

10685171652480 is a wasteful number, since it uses less digits than its factorization.

10685171652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 10685171652480 in words is "ten trillion, six hundred eighty-five billion, one hundred seventy-one million, six hundred fifty-two thousand, four hundred eighty".