79171881600 has 384 divisors, whose sum is σ = 299117105280. Its totient is φ = 18030182400.

The previous prime is 79171881587. The next prime is 79171881683. The reversal of 79171881600 is 618817197.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 79171881600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19687590 + ... + 19691610.

It is an arithmetic number, because the mean of its divisors is an integer number (778950795).

Almost surely, 2^79171881600 is an apocalyptic number.

79171881600 is a gapful number since it is divisible by the number (70) 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 79171881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149558552640).

79171881600 is an abundant number, since it is smaller than the sum of its proper divisors (219945223680).

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

79171881600 is a wasteful number, since it uses less digits than its factorization.

79171881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 48.

The spelling of 79171881600 in words is "seventy-nine billion, one hundred seventy-one million, eight hundred eighty-one thousand, six hundred".