1020555010320 has 160 divisors (see below), whose sum is σ = 3276625996800. Its totient is φ = 262457567232.

The previous prime is 1020555010219. The next prime is 1020555010361. The reversal of 1020555010320 is 230105550201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5921526 + ... + 6091434.

It is an arithmetic number, because the mean of its divisors is an integer number (20478912480).

Almost surely, 2^{1020555010320} is an apocalyptic number.

1020555010320 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 1020555010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638312998400).

1020555010320 is an abundant number, since it is smaller than the sum of its proper divisors (2256070986480).

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

1020555010320 is a wasteful number, since it uses less digits than its factorization.

1020555010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170817 (or 170811 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The spelling of 1020555010320 in words is "one trillion, twenty billion, five hundred fifty-five million, ten thousand, three hundred twenty".