10486586880 has 960 divisors, whose sum is σ = 47432107008. Its totient is φ = 2076180480.

The previous prime is 10486586863. The next prime is 10486586881. The reversal of 10486586880 is 8868568401.

10486586880 is a `hidden beast` number, since 1 + 0 + 486 + 5 + 86 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10486586881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40803712 + ... + 40803968.

Almost surely, 2^10486586880 is an apocalyptic number.

10486586880 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 10486586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716053504).

10486586880 is an abundant number, since it is smaller than the sum of its proper divisors (36945520128).

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

10486586880 is a wasteful number, since it uses less digits than its factorization.

10486586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 10486586880 in words is "ten billion, four hundred eighty-six million, five hundred eighty-six thousand, eight hundred eighty".