10506417680 has 40 divisors (see below), whose sum is σ = 26648097984. Its totient is φ = 3820515200.

The previous prime is 10506417679. The next prime is 10506417683. The reversal of 10506417680 is 8671460501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10506417680² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506417683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5968676 + ... + 5970435.

Almost surely, 2^10506417680 is an apocalyptic number.

10506417680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506417680 is an abundant number, since it is smaller than the sum of its proper divisors (16141680304).

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

10506417680 is a wasteful number, since it uses less digits than its factorization.

10506417680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11939135 (or 11939129 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10506417680 in words is "ten billion, five hundred six million, four hundred seventeen thousand, six hundred eighty".