10761579680 has 48 divisors (see below), whose sum is σ = 25536319200. Its totient is φ = 4285654272.

The previous prime is 10761579671. The next prime is 10761579709. The reversal of 10761579680 is 8697516701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111830 + ... + 184469.

It is an arithmetic number, because the mean of its divisors is an integer number (532006650).

Almost surely, 2^10761579680 is an apocalyptic number.

10761579680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10761579680 is an abundant number, since it is smaller than the sum of its proper divisors (14774739520).

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

10761579680 is a wasteful number, since it uses less digits than its factorization.

10761579680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296541 (or 296533 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 50.

The spelling of 10761579680 in words is "ten billion, seven hundred sixty-one million, five hundred seventy-nine thousand, six hundred eighty".