10206782220 has 96 divisors (see below), whose sum is σ = 30039787008. Its totient is φ = 2584417792.

The previous prime is 10206782189. The next prime is 10206782227. The reversal of 10206782220 is 2228760201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10206782227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162067 + ... + 216053.

It is an arithmetic number, because the mean of its divisors is an integer number (312914448).

Almost surely, 2^10206782220 is an apocalyptic number.

10206782220 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 10206782220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019893504).

10206782220 is an abundant number, since it is smaller than the sum of its proper divisors (19833004788).

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

10206782220 is a wasteful number, since it uses less digits than its factorization.

10206782220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54159 (or 54157 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 10206782220 in words is "ten billion, two hundred six million, seven hundred eighty-two thousand, two hundred twenty".