10486056960 has 768 divisors, whose sum is σ = 41607820800. Its totient is φ = 2491416576.

The previous prime is 10486056949. The next prime is 10486056979. The reversal of 10486056960 is 6965068401.

10486056960 is a `hidden beast` number, since 1 + 0 + 4 + 86 + 0 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108103632 + ... + 108103728.

It is an arithmetic number, because the mean of its divisors is an integer number (54176850).

Almost surely, 2^10486056960 is an apocalyptic number.

10486056960 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 10486056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20803910400).

10486056960 is an abundant number, since it is smaller than the sum of its proper divisors (31121763840).

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

10486056960 is a wasteful number, since it uses less digits than its factorization.

10486056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10486056960 in words is "ten billion, four hundred eighty-six million, fifty-six thousand, nine hundred sixty".