71968238400000 has 240 divisors, whose sum is σ = 239644534143168. Its totient is φ = 19191528960000.

The previous prime is 71968238399977. The next prime is 71968238400001. The reversal of 71968238400000 is 483286917.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71968238400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2696692 + ... + 12296691.

Almost surely, 2^{71968238400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71968238400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822267071584).

71968238400000 is an abundant number, since it is smaller than the sum of its proper divisors (167676295743168).

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

71968238400000 is an frugal number, since it uses more digits than its factorization.

71968238400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14993429 (or 14993393 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 71968238400000 in words is "seventy-one trillion, nine hundred sixty-eight billion, two hundred thirty-eight million, four hundred thousand".