79241995616256 has 1400 divisors, whose sum is σ = 281663946877440. Its totient is φ = 22015062835200.

The previous prime is 79241995616249. The next prime is 79241995616327. The reversal of 79241995616256 is 65261659914297.

79241995616256 is a `hidden beast` number, since 7 + 9 + 2 + 4 + 1 + 9 + 9 + 561 + 6 + 2 + 56 = 666.

It is a super-2 number, since 2×79241995616256² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2556193406961 + ... + 2556193406991.

Almost surely, 2^{79241995616256} is an apocalyptic number.

79241995616256 is a gapful number since it is divisible by the number (76) 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 79241995616256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140831973438720).

79241995616256 is an abundant number, since it is smaller than the sum of its proper divisors (202421951261184).

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

79241995616256 is an frugal number, since it uses more digits than its factorization.

79241995616256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 66 counting only the distinct ones).

The product of its digits is 440899200, while the sum is 72.

The spelling of 79241995616256 in words is "seventy-nine trillion, two hundred forty-one billion, nine hundred ninety-five million, six hundred sixteen thousand, two hundred fifty-six".