1005400082080 has 48 divisors (see below), whose sum is σ = 2375462799360. Its totient is φ = 402125306112.

The previous prime is 1005400082059. The next prime is 1005400082107. The reversal of 1005400082080 is 802800045001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1628857 + ... + 2159623.

It is an arithmetic number, because the mean of its divisors is an integer number (49488808320).

Almost surely, 2^{1005400082080} is an apocalyptic number.

1005400082080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005400082080 is an abundant number, since it is smaller than the sum of its proper divisors (1370062717280).

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

1005400082080 is a wasteful number, since it uses less digits than its factorization.

1005400082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542621 (or 542613 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The spelling of 1005400082080 in words is "one trillion, five billion, four hundred million, eighty-two thousand, eighty".