10820188344 has 64 divisors (see below), whose sum is σ = 30944471040. Its totient is φ = 3088517760.

The previous prime is 10820188321. The next prime is 10820188369. The reversal of 10820188344 is 44388102801.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147897 + ... + 208599.

It is an arithmetic number, because the mean of its divisors is an integer number (483507360).

Almost surely, 2^10820188344 is an apocalyptic number.

10820188344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10820188344 is an abundant number, since it is smaller than the sum of its proper divisors (20124282696).

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

10820188344 is a wasteful number, since it uses less digits than its factorization.

10820188344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61780 (or 61776 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 10820188344 in words is "ten billion, eight hundred twenty million, one hundred eighty-eight thousand, three hundred forty-four".