78561686108400 has 120 divisors (see below), whose sum is σ = 274537383137664. Its totient is φ = 19045257235200.

The previous prime is 78561686108317. The next prime is 78561686108413. The reversal of 78561686108400 is 480168616587.

It is a happy number.

78561686108400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2975808244 + ... + 2975834643.

Almost surely, 2^{78561686108400} is an apocalyptic number.

It is an amenable number.

78561686108400 is an abundant number, since it is smaller than the sum of its proper divisors (195975697029264).

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

78561686108400 is a wasteful number, since it uses less digits than its factorization.

78561686108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951642919 (or 5951642908 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 78561686108400 in words is "seventy-eight trillion, five hundred sixty-one billion, six hundred eighty-six million, one hundred eight thousand, four hundred".