79852089600 has 432 divisors, whose sum is σ = 298368403200. Its totient is φ = 20889722880.

The previous prime is 79852089587. The next prime is 79852089607. The reversal of 79852089600 is 698025897.

It is a happy number.

79852089600 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 20 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (79852089607) 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, 9154041 + ... + 9162759.

It is an arithmetic number, because the mean of its divisors is an integer number (690667600).

Almost surely, 2^79852089600 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 79852089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184201600).

79852089600 is an abundant number, since it is smaller than the sum of its proper divisors (218516313600).

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

79852089600 is a wasteful number, since it uses less digits than its factorization.

79852089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8807 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 79852089600 in words is "seventy-nine billion, eight hundred fifty-two million, eighty-nine thousand, six hundred".