1953720204800 has 960 divisors, whose sum is σ = 6420050757120. Its totient is φ = 571875655680.

The previous prime is 1953720204773. The next prime is 1953720204809. The reversal of 1953720204800 is 84020273591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953720204809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 951640574 + ... + 951642626.

It is an arithmetic number, because the mean of its divisors is an integer number (6687552872).

Almost surely, 2^{1953720204800} is an apocalyptic number.

1953720204800 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 1953720204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210025378560).

1953720204800 is an abundant number, since it is smaller than the sum of its proper divisors (4466330552320).

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

1953720204800 is a wasteful number, since it uses less digits than its factorization.

1953720204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 1953720204800 in words is "one trillion, nine hundred fifty-three billion, seven hundred twenty million, two hundred four thousand, eight hundred".