1968509952000 has 1008 divisors, whose sum is σ = 7394428123992. Its totient is φ = 523144396800.

The previous prime is 1968509951983. The next prime is 1968509952001. The reversal of 1968509952000 is 2599058691.

1968509952000 is a `hidden beast` number, since 1 + 9 + 68 + 50 + 9 + 9 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1107444731904 + 861065220096 = 1052352^2 + 927936^2 .

It is a super-2 number, since 2×1968509952000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1968509952001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6718463854 + ... + 6718464146.

Almost surely, 2^{1968509952000} is an apocalyptic number.

1968509952000 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 1968509952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697214061996).

1968509952000 is an abundant number, since it is smaller than the sum of its proper divisors (5425918171992).

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

1968509952000 is an frugal number, since it uses more digits than its factorization.

1968509952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 1968509952000 in words is "one trillion, nine hundred sixty-eight billion, five hundred nine million, nine hundred fifty-two thousand".