10005044377935 has 32 divisors (see below), whose sum is σ = 16066116227520. Its totient is φ = 5316677811200.

The previous prime is 10005044377877. The next prime is 10005044377943. The reversal of 10005044377935 is 53977344050001.

It is a happy number.

It is not a de Polignac number, because 10005044377935 - 2⁹ = 10005044377423 is a prime.

It is a super-2 number, since 2×10005044377935² (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 31 ways as a sum of consecutive naturals, for example, 70154881 + ... + 70297349.

It is an arithmetic number, because the mean of its divisors is an integer number (502066132110).

Almost surely, 2^{10005044377935} is an apocalyptic number.

10005044377935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10005044377935 is a deficient number, since it is larger than the sum of its proper divisors (6061071849585).

10005044377935 is a wasteful number, since it uses less digits than its factorization.

10005044377935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159419.

The product of its (nonzero) digits is 1587600, while the sum is 48.

The spelling of 10005044377935 in words is "ten trillion, five billion, forty-four million, three hundred seventy-seven thousand, nine hundred thirty-five".