78055419456 has 189 divisors, whose sum is σ = 260415995931. Its totient is φ = 22288137984.

The previous prime is 78055419443. The next prime is 78055419461. The reversal of 78055419456 is 65491455087.

It is a happy number.

The square root of 78055419456 is 279384.

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

78055419456 is a `hidden beast` number, since 7 + 8 + 0 + 5 + 541 + 94 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46935681 + ... + 46937343.

Almost surely, 2^78055419456 is an apocalyptic number.

78055419456 is the 279384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78055419456

78055419456 is an abundant number, since it is smaller than the sum of its proper divisors (182360576475).

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

78055419456 is an equidigital number, since it uses as much as digits as its factorization.

78055419456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 78055419456 in words is "seventy-eight billion, fifty-five million, four hundred nineteen thousand, four hundred fifty-six".