78166425600 has 1020 divisors, whose sum is σ = 314654285440. Its totient is φ = 19110297600.

The previous prime is 78166425563. The next prime is 78166425647. The reversal of 78166425600 is 652466187.

78166425600 is a `hidden beast` number, since 7 + 8 + 16 + 6 + 4 + 25 + 600 = 666.

It is a super-2 number, since 2×78166425600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2521497585 + ... + 2521497615.

Almost surely, 2^78166425600 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 78166425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157327142720).

78166425600 is an abundant number, since it is smaller than the sum of its proper divisors (236487859840).

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

78166425600 is an equidigital number, since it uses as much as digits as its factorization.

78166425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 78166425600 in words is "seventy-eight billion, one hundred sixty-six million, four hundred twenty-five thousand, six hundred".