1005055611008 has 64 divisors (see below), whose sum is σ = 2053955232000. Its totient is φ = 489587312640.

The previous prime is 1005055610987. The next prime is 1005055611017. The reversal of 1005055611008 is 8001165505001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3640133 + ... + 3906491.

It is an arithmetic number, because the mean of its divisors is an integer number (32093050500).

Almost surely, 2^{1005055611008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005055611008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026977616000).

1005055611008 is an abundant number, since it is smaller than the sum of its proper divisors (1048899620992).

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

1005055611008 is an equidigital number, since it uses as much as digits as its factorization.

1005055611008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267133 (or 267121 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 32.

The spelling of 1005055611008 in words is "one trillion, five billion, fifty-five million, six hundred eleven thousand, eight".