1955144093175 has 144 divisors (see below), whose sum is σ = 4322028372480. Its totient is φ = 822726616320.

The previous prime is 1955144093159. The next prime is 1955144093233. The reversal of 1955144093175 is 5713904415591.

1955144093175 is a `hidden beast` number, since 1 + 9 + 55 + 14 + 409 + 3 + 175 = 666.

It is not a de Polignac number, because 1955144093175 - 2⁴ = 1955144093159 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7217532 + ... + 7483518.

It is an arithmetic number, because the mean of its divisors is an integer number (30014085920).

Almost surely, 2^{1955144093175} is an apocalyptic number.

1955144093175 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1955144093175 is an abundant number, since it is smaller than the sum of its proper divisors (2366884279305).

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

1955144093175 is a wasteful number, since it uses less digits than its factorization.

1955144093175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266382 (or 266374 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 1955144093175 in words is "one trillion, nine hundred fifty-five billion, one hundred forty-four million, ninety-three thousand, one hundred seventy-five".