10680284160 has 880 divisors, whose sum is σ = 47270568576. Its totient is φ = 2245459968.

The previous prime is 10680284159. The next prime is 10680284201. The reversal of 10680284160 is 6148208601.

It is a super-2 number, since 2×10680284160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739379 + ... + 37739661.

Almost surely, 2^10680284160 is an apocalyptic number.

10680284160 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 10680284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23635284288).

10680284160 is an abundant number, since it is smaller than the sum of its proper divisors (36590284416).

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

10680284160 is a wasteful number, since it uses less digits than its factorization.

10680284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10680284160 in words is "ten billion, six hundred eighty million, two hundred eighty-four thousand, one hundred sixty".