10820142288 has 120 divisors (see below), whose sum is σ = 31985690880. Its totient is φ = 3409136640.

The previous prime is 10820142253. The next prime is 10820142313. The reversal of 10820142288 is 88224102801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163768 + ... + 220136.

It is an arithmetic number, because the mean of its divisors is an integer number (266547424).

Almost surely, 2^10820142288 is an apocalyptic number.

10820142288 is a gapful number since it is divisible by the number (18) 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 10820142288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15992845440).

10820142288 is an abundant number, since it is smaller than the sum of its proper divisors (21165548592).

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

10820142288 is a wasteful number, since it uses less digits than its factorization.

10820142288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56457 (or 56448 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 10820142288 in words is "ten billion, eight hundred twenty million, one hundred forty-two thousand, two hundred eighty-eight".