79893628257600 has 1176 divisors, whose sum is σ = 312160175678400. Its totient is φ = 20074053795840.

The previous prime is 79893628257581. The next prime is 79893628257601. The reversal of 79893628257600 is 675282639897.

79893628257600 is a `hidden beast` number, since 7 + 9 + 8 + 9 + 3 + 6 + 2 + 8 + 2 + 5 + 7 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79893628257601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1797400176 + ... + 1797444624.

Almost surely, 2^{79893628257600} 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 79893628257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156080087839200).

79893628257600 is an abundant number, since it is smaller than the sum of its proper divisors (232266547420800).

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

79893628257600 is a wasteful number, since it uses less digits than its factorization.

79893628257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44579 (or 44549 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 79893628257600 in words is "seventy-nine trillion, eight hundred ninety-three billion, six hundred twenty-eight million, two hundred fifty-seven thousand, six hundred".