1005288780540 has 288 divisors, whose sum is σ = 3199417401600. Its totient is φ = 235826870400.

The previous prime is 1005288780521. The next prime is 1005288780583. The reversal of 1005288780540 is 450878825001.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1005288780540.

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 95 ways as a sum of consecutive naturals, for example, 76738911 + ... + 76752009.

It is an arithmetic number, because the mean of its divisors is an integer number (11109088200).

Almost surely, 2^{1005288780540} is an apocalyptic number.

1005288780540 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 1005288780540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599708700800).

1005288780540 is an abundant number, since it is smaller than the sum of its proper divisors (2194128621060).

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

1005288780540 is a wasteful number, since it uses less digits than its factorization.

1005288780540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13206 (or 13151 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 1005288780540 in words is "one trillion, five billion, two hundred eighty-eight million, seven hundred eighty thousand, five hundred forty".