1020225565660 has 96 divisors (see below), whose sum is σ = 2494831933440. Its totient is φ = 343201497600.

The previous prime is 1020225565649. The next prime is 1020225565679. The reversal of 1020225565660 is 665655220201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4184925 + ... + 4421995.

It is an arithmetic number, because the mean of its divisors is an integer number (25987832640).

Almost surely, 2^{1020225565660} is an apocalyptic number.

1020225565660 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 1020225565660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247415966720).

1020225565660 is an abundant number, since it is smaller than the sum of its proper divisors (1474606367780).

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

1020225565660 is a wasteful number, since it uses less digits than its factorization.

1020225565660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237667 (or 237665 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 1020225565660 in words is "one trillion, twenty billion, two hundred twenty-five million, five hundred sixty-five thousand, six hundred sixty".