79240444157952 has 336 divisors, whose sum is σ = 285385412699712. Its totient is φ = 20581932072960.

The previous prime is 79240444157921. The next prime is 79240444158017. The reversal of 79240444157952 is 25975144404297.

It is a happy number.

79240444157952 is a `hidden beast` number, since 7 + 9 + 2 + 4 + 0 + 4 + 4 + 4 + 1 + 579 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 79240444157952.

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 23 ways as a sum of consecutive naturals, for example, 1301953 + ... + 12656064.

Almost surely, 2^{79240444157952} is an apocalyptic number.

79240444157952 is a gapful number since it is divisible by the number (72) 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 79240444157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142692706349856).

79240444157952 is an abundant number, since it is smaller than the sum of its proper divisors (206144968541760).

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

79240444157952 is a wasteful number, since it uses less digits than its factorization.

79240444157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13958067 (or 13958040 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 79240444157952 in words is "seventy-nine trillion, two hundred forty billion, four hundred forty-four million, one hundred fifty-seven thousand, nine hundred fifty-two".