1005304145020 has 96 divisors (see below), whose sum is σ = 2470185648000. Its totient is φ = 336550256640.

The previous prime is 1005304144993. The next prime is 1005304145023. The reversal of 1005304145020 is 205414035001.

It is a happy number.

1005304145020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005304145023) 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, 740356 + ... + 1599604.

It is an arithmetic number, because the mean of its divisors is an integer number (25731100500).

Almost surely, 2^{1005304145020} is an apocalyptic number.

1005304145020 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 1005304145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235092824000).

1005304145020 is an abundant number, since it is smaller than the sum of its proper divisors (1464881502980).

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

1005304145020 is a wasteful number, since it uses less digits than its factorization.

1005304145020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859463 (or 859461 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 1005304145020 in words is "one trillion, five billion, three hundred four million, one hundred forty-five thousand, twenty".