78526402560000 has 1920 divisors, whose sum is σ = 304050607660800. Its totient is φ = 20225064960000.

The previous prime is 78526402559981. The next prime is 78526402560007. The reversal of 78526402560000 is 6520462587.

78526402560000 is a `hidden beast` number, since 7 + 8 + 526 + 40 + 25 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (78526402560007) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 154275839746 + ... + 154275840254.

It is an arithmetic number, because the mean of its divisors is an integer number (158359691490).

Almost surely, 2^{78526402560000} 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 78526402560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152025303830400).

78526402560000 is an abundant number, since it is smaller than the sum of its proper divisors (225524205100800).

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

78526402560000 is an frugal number, since it uses more digits than its factorization.

78526402560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 78526402560000 in words is "seventy-eight trillion, five hundred twenty-six billion, four hundred two million, five hundred sixty thousand".