1956485884320 has 1344 divisors, whose sum is σ = 8427944972160. Its totient is φ = 422815334400.

The previous prime is 1956485884277. The next prime is 1956485884343. The reversal of 1956485884320 is 234885846591.

1956485884320 is a `hidden beast` number, since 1 + 9 + 5 + 6 + 4 + 8 + 588 + 43 + 2 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 414419560 + ... + 414424280.

It is an arithmetic number, because the mean of its divisors is an integer number (6270792390).

Almost surely, 2^{1956485884320} is an apocalyptic number.

1956485884320 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 1956485884320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213972486080).

1956485884320 is an abundant number, since it is smaller than the sum of its proper divisors (6471459087840).

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

1956485884320 is a wasteful number, since it uses less digits than its factorization.

1956485884320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 1956485884320 in words is "one trillion, nine hundred fifty-six billion, four hundred eighty-five million, eight hundred eighty-four thousand, three hundred twenty".