10000505501055 has 96 divisors (see below), whose sum is σ = 17740491664896. Its totient is φ = 5210369079552.

The previous prime is 10000505501027. The next prime is 10000505501087. The reversal of 10000505501055 is 55010550500001.

10000505501055 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 5 + 0 + 550 + 105 + 5 = 666.

It is not a de Polignac number, because 10000505501055 - 2⁷ = 10000505500927 is a prime.

It is a super-2 number, since 2×10000505501055² (a number of 27 digits) contains 22 as substring.

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, 119892894 + ... + 119976276.

It is an arithmetic number, because the mean of its divisors is an integer number (184796788176).

Almost surely, 2^{10000505501055} is an apocalyptic number.

10000505501055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10000505501055 is a deficient number, since it is larger than the sum of its proper divisors (7739986163841).

10000505501055 is a wasteful number, since it uses less digits than its factorization.

10000505501055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83837 (or 83834 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 10000505501055 in words is "ten trillion, five hundred five million, five hundred one thousand, fifty-five".