79981752576000 has 384 divisors, whose sum is σ = 290306526007680. Its totient is φ = 19389513728000.

The previous prime is 79981752575953. The next prime is 79981752576073. The reversal of 79981752576000 is 67525718997.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3714232 + ... + 13181768.

It is an arithmetic number, because the mean of its divisors is an integer number (756006578145).

Almost surely, 2^{79981752576000} 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 79981752576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145153263003840).

79981752576000 is an abundant number, since it is smaller than the sum of its proper divisors (210324773431680).

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

79981752576000 is a wasteful number, since it uses less digits than its factorization.

79981752576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9467588 (or 9467558 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 66.

The spelling of 79981752576000 in words is "seventy-nine trillion, nine hundred eighty-one billion, seven hundred fifty-two million, five hundred seventy-six thousand".