78483271680000 has 4800 divisors, whose sum is σ = 355832077098960. Its totient is φ = 17128488960000.

The previous prime is 78483271679971. The next prime is 78483271680049. The reversal of 78483271680000 is 8617238487.

It is a happy number.

78483271680000 is a `hidden beast` number, since 78 + 483 + 2 + 7 + 16 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

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 299 ways as a sum of consecutive naturals, for example, 3412316159989 + ... + 3412316160011.

Almost surely, 2^{78483271680000} 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 78483271680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177916038549480).

78483271680000 is an abundant number, since it is smaller than the sum of its proper divisors (277348805418960).

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

78483271680000 is an equidigital number, since it uses as much as digits as its factorization.

78483271680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 78483271680000 in words is "seventy-eight trillion, four hundred eighty-three billion, two hundred seventy-one million, six hundred eighty thousand".