79972883202240 has 896 divisors, whose sum is σ = 327307703869440. Its totient is φ = 18004347187200.

The previous prime is 79972883202239. The next prime is 79972883202241. The reversal of 79972883202240 is 4220238827997.

79972883202240 is a `hidden beast` number, since 7 + 9 + 9 + 7 + 2 + 88 + 320 + 224 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79972883202239) and next prime (79972883202241).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (79972883202241) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1661542975 + ... + 1661591105.

It is an arithmetic number, because the mean of its divisors is an integer number (365298776640).

Almost surely, 2^{79972883202240} is an apocalyptic number.

79972883202240 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 79972883202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163653851934720).

79972883202240 is an abundant number, since it is smaller than the sum of its proper divisors (247334820667200).

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

79972883202240 is a wasteful number, since it uses less digits than its factorization.

79972883202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48578 (or 48562 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 79972883202240 in words is "seventy-nine trillion, nine hundred seventy-two billion, eight hundred eighty-three million, two hundred two thousand, two hundred forty".