1005873408001 has 16 divisors (see below), whose sum is σ = 1254112358400. Its totient is φ = 783774697680.

The previous prime is 1005873407969. The next prime is 1005873408011. The reversal of 1005873408001 is 1008043785001.

It is a cyclic number.

It is not a de Polignac number, because 1005873408001 - 2⁵ = 1005873407969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005873408011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2778480 + ... + 3119566.

It is an arithmetic number, because the mean of its divisors is an integer number (78382022400).

Almost surely, 2^{1005873408001} is an apocalyptic number.

1005873408001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1005873408001 is a deficient number, since it is larger than the sum of its proper divisors (248238950399).

1005873408001 is a wasteful number, since it uses less digits than its factorization.

1005873408001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379404.

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 1005873408001 in words is "one trillion, five billion, eight hundred seventy-three million, four hundred eight thousand, one".