10476138582 has 192 divisors, whose sum is σ = 30602033280. Its totient is φ = 2510548992.

The previous prime is 10476138511. The next prime is 10476138619. The reversal of 10476138582 is 28583167401.

10476138582 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 61 + 3 + 8 + 582 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 801048 + ... + 814020.

It is an arithmetic number, because the mean of its divisors is an integer number (159385590).

Almost surely, 2^10476138582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10476138582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301016640).

10476138582 is an abundant number, since it is smaller than the sum of its proper divisors (20125894698).

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

10476138582 is a wasteful number, since it uses less digits than its factorization.

10476138582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13047 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 10476138582 in words is "ten billion, four hundred seventy-six million, one hundred thirty-eight thousand, five hundred eighty-two".