1955970828000 has 720 divisors, whose sum is σ = 8351224946064. Its totient is φ = 447075417600.

The previous prime is 1955970827989. The next prime is 1955970828023. The reversal of 1955970828000 is 8280795591.

1955970828000 is a `hidden beast` number, since 1 + 9 + 559 + 7 + 0 + 8 + 2 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15814399 + ... + 15937601.

Almost surely, 2^{1955970828000} is an apocalyptic number.

1955970828000 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 1955970828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4175612473032).

1955970828000 is an abundant number, since it is smaller than the sum of its proper divisors (6395254118064).

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

1955970828000 is a wasteful number, since it uses less digits than its factorization.

1955970828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123254 (or 123220 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 1955970828000 in words is "one trillion, nine hundred fifty-five billion, nine hundred seventy million, eight hundred twenty-eight thousand".