10990671580 has 72 divisors (see below), whose sum is σ = 26935717536. Its totient is φ = 3756009600.

The previous prime is 10990671577. The next prime is 10990671611. The reversal of 10990671580 is 8517609901.

It is a happy number.

10990671580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10990671580.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286750 + ... + 322810.

It is an arithmetic number, because the mean of its divisors is an integer number (374107188).

Almost surely, 2^10990671580 is an apocalyptic number.

10990671580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10990671580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13467858768).

10990671580 is an abundant number, since it is smaller than the sum of its proper divisors (15945045956).

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

10990671580 is a wasteful number, since it uses less digits than its factorization.

10990671580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36395 (or 36386 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 10990671580 in words is "ten billion, nine hundred ninety million, six hundred seventy-one thousand, five hundred eighty".