79045585920 has 1056 divisors, whose sum is σ = 330470300160. Its totient is φ = 17093099520.

The previous prime is 79045585901. The next prime is 79045585987. The reversal of 79045585920 is 2958554097.

79045585920 is a `hidden beast` number, since 7 + 9 + 0 + 45 + 5 + 8 + 592 + 0 = 666.

It is a super-3 number, since 3×79045585920³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568673211 + ... + 568673349.

It is an arithmetic number, because the mean of its divisors is an integer number (312945360).

Almost surely, 2^79045585920 is an apocalyptic number.

79045585920 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 79045585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165235150080).

79045585920 is an abundant number, since it is smaller than the sum of its proper divisors (251424714240).

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

79045585920 is a wasteful number, since it uses less digits than its factorization.

79045585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 79045585920 in words is "seventy-nine billion, forty-five million, five hundred eighty-five thousand, nine hundred twenty".