10610328456 has 512 divisors, whose sum is σ = 38886220800. Its totient is φ = 2601123840.

The previous prime is 10610328433. The next prime is 10610328529. The reversal of 10610328456 is 65482301601.

It is a happy number.

10610328456 is a `hidden beast` number, since 1 + 0 + 610 + 32 + 8 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×10610328456² (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 self number, because there is not a number n which added to its sum of digits gives 10610328456.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37759036 + ... + 37759316.

It is an arithmetic number, because the mean of its divisors is an integer number (75949650).

Almost surely, 2^10610328456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10610328456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19443110400).

10610328456 is an abundant number, since it is smaller than the sum of its proper divisors (28275892344).

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

10610328456 is a wasteful number, since it uses less digits than its factorization.

10610328456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10610328456 in words is "ten billion, six hundred ten million, three hundred twenty-eight thousand, four hundred fifty-six".