1955009554680 has 1024 divisors, whose sum is σ = 8095997952000. Its totient is φ = 365476478976.

The previous prime is 1955009554639. The next prime is 1955009554709. The reversal of 1955009554680 is 864559005591.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 1955009554680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 589034061 + ... + 589037379.

It is an arithmetic number, because the mean of its divisors is an integer number (7906248000).

Almost surely, 2^{1955009554680} is an apocalyptic number.

1955009554680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1955009554680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047998976000).

1955009554680 is an abundant number, since it is smaller than the sum of its proper divisors (6140988397320).

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

1955009554680 is a wasteful number, since it uses less digits than its factorization.

1955009554680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 57.

The spelling of 1955009554680 in words is "one trillion, nine hundred fifty-five billion, nine million, five hundred fifty-four thousand, six hundred eighty".