1005505806088 has 64 divisors (see below), whose sum is σ = 2174693529600. Its totient is φ = 426941202240.

The previous prime is 1005505806061. The next prime is 1005505806091. The reversal of 1005505806088 is 8806085055001.

1005505806088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005505806088² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531431 + ... + 2901577.

It is an arithmetic number, because the mean of its divisors is an integer number (33979586400).

Almost surely, 2^{1005505806088} is an apocalyptic number.

It is an amenable number.

1005505806088 is an abundant number, since it is smaller than the sum of its proper divisors (1169187723512).

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

1005505806088 is a wasteful number, since it uses less digits than its factorization.

1005505806088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370610 (or 370606 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 46.

The spelling of 1005505806088 in words is "one trillion, five billion, five hundred five million, eight hundred six thousand, eighty-eight".