78552668160 has 192 divisors, whose sum is σ = 279231170400. Its totient is φ = 20947304448.

The previous prime is 78552668141. The next prime is 78552668189. The reversal of 78552668160 is 6186625587.

78552668160 is a `hidden beast` number, since 7 + 8 + 552 + 6 + 6 + 81 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 78552668097 and 78552668106.

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 15 ways as a sum of consecutive naturals, for example, 134422 + ... + 418538.

Almost surely, 2^78552668160 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 78552668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139615585200).

78552668160 is an abundant number, since it is smaller than the sum of its proper divisors (200678502240).

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

78552668160 is a wasteful number, since it uses less digits than its factorization.

78552668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284153 (or 284127 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 78552668160 in words is "seventy-eight billion, five hundred fifty-two million, six hundred sixty-eight thousand, one hundred sixty".