78855465603600 has 405 divisors, whose sum is σ = 318343038022893. Its totient is φ = 18023253937920.

The previous prime is 78855465603511. The next prime is 78855465603647. The reversal of 78855465603600 is 630656455887.

The square root of 78855465603600 is 8880060.

It is a perfect power (a square), and thus also a powerful number.

78855465603600 is a `hidden beast` number, since 7 + 8 + 8 + 5 + 5 + 4 + 6 + 560 + 3 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28387967617296 + 50467497986304 = 5328036^2 + 7104048^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3729614629 + ... + 3729635771.

Almost surely, 2^{78855465603600} is an apocalyptic number.

78855465603600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78855465603600 is the 8880060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78855465603600

78855465603600 is an abundant number, since it is smaller than the sum of its proper divisors (239487572419293).

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

78855465603600 is an equidigital number, since it uses as much as digits as its factorization.

78855465603600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42324 (or 21160 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 78855465603600 in words is "seventy-eight trillion, eight hundred fifty-five billion, four hundred sixty-five million, six hundred three thousand, six hundred".