79623010309248 has 1024 divisors, whose sum is σ = 278020715212800. Its totient is φ = 21966936735744.

The previous prime is 79623010309103. The next prime is 79623010309253. The reversal of 79623010309248 is 84290301032697.

79623010309248 is a `hidden beast` number, since 7 + 9 + 6 + 2 + 301 + 0 + 309 + 24 + 8 = 666.

79623010309248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×79623010309248² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 79623010309194 and 79623010309203.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16822945090 + ... + 16822949822.

It is an arithmetic number, because the mean of its divisors is an integer number (271504604700).

Almost surely, 2^{79623010309248} 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 79623010309248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139010357606400).

79623010309248 is an abundant number, since it is smaller than the sum of its proper divisors (198397704903552).

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

79623010309248 is a wasteful number, since it uses less digits than its factorization.

79623010309248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 79623010309248 in words is "seventy-nine trillion, six hundred twenty-three billion, ten million, three hundred nine thousand, two hundred forty-eight".