79248811488000 has 2304 divisors, whose sum is σ = 337377662189568. Its totient is φ = 16009297920000.

The previous prime is 79248811487959. The next prime is 79248811488107. The reversal of 79248811488000 is 88411884297.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 89953247560 + ... + 89953248440.

It is an arithmetic number, because the mean of its divisors is an integer number (146431276992).

Almost surely, 2^{79248811488000} is an apocalyptic number.

79248811488000 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 79248811488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168688831094784).

79248811488000 is an abundant number, since it is smaller than the sum of its proper divisors (258128850701568).

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

79248811488000 is a wasteful number, since it uses less digits than its factorization.

79248811488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 60.

The spelling of 79248811488000 in words is "seventy-nine trillion, two hundred forty-eight billion, eight hundred eleven million, four hundred eighty-eight thousand".