79095600000 has 576 divisors, whose sum is σ = 288386542080. Its totient is φ = 20805120000.

The previous prime is 79095599969. The next prime is 79095600113. The reversal of 79095600000 is 659097.

79095600000 is a `hidden beast` number, since 7 + 90 + 9 + 560 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×79095600000² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 457199914 + ... + 457200086.

It is an arithmetic number, because the mean of its divisors is an integer number (500671080).

Almost surely, 2^79095600000 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 79095600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144193271040).

79095600000 is an abundant number, since it is smaller than the sum of its proper divisors (209290942080).

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

79095600000 is a wasteful number, since it uses less digits than its factorization.

79095600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The spelling of 79095600000 in words is "seventy-nine billion, ninety-five million, six hundred thousand".