79509911040 has 1440 divisors, whose sum is σ = 354974780160. Its totient is φ = 16661790720.

The previous prime is 79509911029. The next prime is 79509911069. The reversal of 79509911040 is 4011990597.

79509911040 is a `hidden beast` number, since 7 + 9 + 509 + 91 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2564835825 + ... + 2564835855.

It is an arithmetic number, because the mean of its divisors is an integer number (246510264).

Almost surely, 2^79509911040 is an apocalyptic number.

79509911040 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 79509911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177487390080).

79509911040 is an abundant number, since it is smaller than the sum of its proper divisors (275464869120).

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

79509911040 is an equidigital number, since it uses as much as digits as its factorization.

79509911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 79509911040 in words is "seventy-nine billion, five hundred nine million, nine hundred eleven thousand, forty".