79265735712 has 288 divisors, whose sum is σ = 243554351040. Its totient is φ = 24364154880.

The previous prime is 79265735693. The next prime is 79265735719. The reversal of 79265735712 is 21753756297.

79265735712 is a `hidden beast` number, since 7 + 9 + 2 + 6 + 573 + 57 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (79265735719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53233464 + ... + 53234952.

It is an arithmetic number, because the mean of its divisors is an integer number (845674830).

Almost surely, 2^79265735712 is an apocalyptic number.

79265735712 is a gapful number since it is divisible by the number (72) 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 79265735712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121777175520).

79265735712 is an abundant number, since it is smaller than the sum of its proper divisors (164288615328).

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

79265735712 is a wasteful number, since it uses less digits than its factorization.

79265735712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1725 counting only the distinct ones).

The product of its digits is 5556600, while the sum is 54.

The spelling of 79265735712 in words is "seventy-nine billion, two hundred sixty-five million, seven hundred thirty-five thousand, seven hundred twelve".