79881314457600 has 432 divisors, whose sum is σ = 293814787462560. Its totient is φ = 20725958246400.

The previous prime is 79881314457589. The next prime is 79881314457611. The reversal of 79881314457600 is 675441318897.

79881314457600 is a `hidden beast` number, since 7 + 9 + 8 + 8 + 1 + 3 + 14 + 4 + 5 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (79881314457589) and next prime (79881314457611).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14706985 + ... + 19392215.

It is an arithmetic number, because the mean of its divisors is an integer number (680126822830).

Almost surely, 2^{79881314457600} 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 79881314457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146907393731280).

79881314457600 is an abundant number, since it is smaller than the sum of its proper divisors (213933473004960).

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

79881314457600 is a wasteful number, since it uses less digits than its factorization.

79881314457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685306 (or 4685278 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 79881314457600 in words is "seventy-nine trillion, eight hundred eighty-one billion, three hundred fourteen million, four hundred fifty-seven thousand, six hundred".