10077638582506 has 32 divisors (see below), whose sum is σ = 16936812210240. Its totient is φ = 4456825948800.

The previous prime is 10077638582489. The next prime is 10077638582563. The reversal of 10077638582506 is 60528583677001.

It is a happy number.

It is a super-2 number, since 2×10077638582506² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36623985 + ... + 36898123.

It is an arithmetic number, because the mean of its divisors is an integer number (529275381570).

Almost surely, 2^{10077638582506} is an apocalyptic number.

10077638582506 is a deficient number, since it is larger than the sum of its proper divisors (6859173627734).

10077638582506 is a wasteful number, since it uses less digits than its factorization.

10077638582506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319350.

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 10077638582506 in words is "ten trillion, seventy-seven billion, six hundred thirty-eight million, five hundred eighty-two thousand, five hundred six".