1968075158400 has 576 divisors, whose sum is σ = 7586064617040. Its totient is φ = 482955264000.

The previous prime is 1968075158363. The next prime is 1968075158419. The reversal of 1968075158400 is 48515708691.

It is a happy number.

1968075158400 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 0 + 7 + 51 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1968075158400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123918460 + ... + 123934340.

Almost surely, 2^{1968075158400} is an apocalyptic number.

1968075158400 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 1968075158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793032308520).

1968075158400 is an abundant number, since it is smaller than the sum of its proper divisors (5617989458640).

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

1968075158400 is a wasteful number, since it uses less digits than its factorization.

1968075158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16255 (or 16235 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1968075158400 in words is "one trillion, nine hundred sixty-eight billion, seventy-five million, one hundred fifty-eight thousand, four hundred".