78048489600 has 336 divisors, whose sum is σ = 289082640570. Its totient is φ = 20812308480.

The previous prime is 78048489599. The next prime is 78048489611. The reversal of 78048489600 is 698484087.

78048489600 is a `hidden beast` number, since 7 + 80 + 484 + 89 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 53117342784 + 24931146816 = 230472^2 + 157896^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2316072 + ... + 2349528.

Almost surely, 2^78048489600 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 78048489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144541320285).

78048489600 is an abundant number, since it is smaller than the sum of its proper divisors (211034150970).

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

78048489600 is an equidigital number, since it uses as much as digits as its factorization.

78048489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33499 (or 33467 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 78048489600 in words is "seventy-eight billion, forty-eight million, four hundred eighty-nine thousand, six hundred".