10405505049960 has 32 divisors (see below), whose sum is σ = 31216515150240. Its totient is φ = 2774801346624.

The previous prime is 10405505049959. The next prime is 10405505050019. The reversal of 10405505049960 is 6994050550401.

It is a super-3 number, since 3×10405505049960³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43356270922 + ... + 43356271161.

It is an arithmetic number, because the mean of its divisors is an integer number (975516098445).

Almost surely, 2^{10405505049960} is an apocalyptic number.

10405505049960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405505049960 is an abundant number, since it is smaller than the sum of its proper divisors (20811010100280).

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

10405505049960 is a wasteful number, since it uses less digits than its factorization.

10405505049960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86712542097 (or 86712542093 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 10405505049960 in words is "ten trillion, four hundred five billion, five hundred five million, forty-nine thousand, nine hundred sixty".