1005055055120 has 40 divisors (see below), whose sum is σ = 2459740007040. Its totient is φ = 380862967680.

The previous prime is 1005055055093. The next prime is 1005055055129. The reversal of 1005055055120 is 215505505001.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1005055055129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330608696 + ... + 330611735.

It is an arithmetic number, because the mean of its divisors is an integer number (61493500176).

Almost surely, 2^{1005055055120} is an apocalyptic number.

1005055055120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005055055120 is an abundant number, since it is smaller than the sum of its proper divisors (1454684951920).

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

1005055055120 is a wasteful number, since it uses less digits than its factorization.

1005055055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661220463 (or 661220457 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 29.

The spelling of 1005055055120 in words is "one trillion, five billion, fifty-five million, fifty-five thousand, one hundred twenty".