10790638884 has 135 divisors (see below), whose sum is σ = 29362670337. Its totient is φ = 3455397792.

The previous prime is 10790638861. The next prime is 10790638889. The reversal of 10790638884 is 48883609701.

The square root of 10790638884 is 103878.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5658349284 + 5132289600 = 75222^2 + 71640^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10790638884.

It is not an unprimeable number, because it can be changed into a prime (10790638889) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 54224217 + ... + 54224415.

Almost surely, 2^10790638884 is an apocalyptic number.

10790638884 is the 103878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10790638884

10790638884 is an abundant number, since it is smaller than the sum of its proper divisors (18572031453).

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

10790638884 is an equidigital number, since it uses as much as digits as its factorization.

10790638884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10790638884 in words is "ten billion, seven hundred ninety million, six hundred thirty-eight thousand, eight hundred eighty-four".