10416177085955 has 32 divisors (see below), whose sum is σ = 12755325571200. Its totient is φ = 8164316160000.

The previous prime is 10416177085933. The next prime is 10416177085999. The reversal of 10416177085955 is 55958077161401.

It is not a de Polignac number, because 10416177085955 - 2⁶ = 10416177085891 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10416177085894 and 10416177085903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26751911 + ... + 27138479.

It is an arithmetic number, because the mean of its divisors is an integer number (398603924100).

Almost surely, 2^{10416177085955} is an apocalyptic number.

10416177085955 is a deficient number, since it is larger than the sum of its proper divisors (2339148485245).

10416177085955 is a wasteful number, since it uses less digits than its factorization.

10416177085955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387215.

The product of its (nonzero) digits is 10584000, while the sum is 59.

The spelling of 10416177085955 in words is "ten trillion, four hundred sixteen billion, one hundred seventy-seven million, eighty-five thousand, nine hundred fifty-five".