79651952640000 has 3000 divisors, whose sum is σ = 327735070019280. Its totient is φ = 19152764928000.

The previous prime is 79651952639899. The next prime is 79651952640017. The reversal of 79651952640000 is 4625915697.

79651952640000 is a `hidden beast` number, since 7 + 9 + 65 + 19 + 526 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3000).

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

It is a congruent number.

It is an unprimeable number.

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 199 ways as a sum of consecutive naturals, for example, 894965759956 + ... + 894965760044.

Almost surely, 2^{79651952640000} 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 79651952640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163867535009640).

79651952640000 is an abundant number, since it is smaller than the sum of its proper divisors (248083117379280).

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

79651952640000 is an frugal number, since it uses more digits than its factorization.

79651952640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 79651952640000 in words is "seventy-nine trillion, six hundred fifty-one billion, nine hundred fifty-two million, six hundred forty thousand".