78553161926400 has 864 divisors, whose sum is σ = 312748482816000. Its totient is φ = 17335828070400.

The previous prime is 78553161926359. The next prime is 78553161926453. The reversal of 78553161926400 is 462916135587.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190776745 + ... + 191188055.

It is a 1-persistent number, because it is pandigital, but 2⋅78553161926400 = 157106323852800 is not.

Almost surely, 2^{78553161926400} is an apocalyptic number.

78553161926400 is a gapful number since it is divisible by the number (70) 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 78553161926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156374241408000).

78553161926400 is an abundant number, since it is smaller than the sum of its proper divisors (234195320889600).

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

78553161926400 is a wasteful number, since it uses less digits than its factorization.

78553161926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411390 (or 411357 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 78553161926400 in words is "seventy-eight trillion, five hundred fifty-three billion, one hundred sixty-one million, nine hundred twenty-six thousand, four hundred".