79172121600 has 1584 divisors, whose sum is σ = 349247021760. Its totient is φ = 17517772800.

The previous prime is 79172121599. The next prime is 79172121641. The reversal of 79172121600 is 612127197.

It is a happy number.

79172121600 is a `hidden beast` number, since 7 + 9 + 1 + 7 + 21 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 889574356 + ... + 889574444.

Almost surely, 2^79172121600 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 79172121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174623510880).

79172121600 is an abundant number, since it is smaller than the sum of its proper divisors (270074900160).

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

79172121600 is a wasteful number, since it uses less digits than its factorization.

79172121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 79172121600 its reverse (612127197), we get a palindrome (79784248797).

The spelling of 79172121600 in words is "seventy-nine billion, one hundred seventy-two million, one hundred twenty-one thousand, six hundred".