78442513128 has 384 divisors, whose sum is σ = 256628736000. Its totient is φ = 21986173440.

The previous prime is 78442513087. The next prime is 78442513129. The reversal of 78442513128 is 82131524487.

78442513128 is a `hidden beast` number, since 7 + 8 + 4 + 4 + 2 + 513 + 128 = 666.

It is not an unprimeable number, because it can be changed into a prime (78442513129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 289455633 + ... + 289455903.

It is an arithmetic number, because the mean of its divisors is an integer number (668304000).

Almost surely, 2^78442513128 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 78442513128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368000).

78442513128 is an abundant number, since it is smaller than the sum of its proper divisors (178186222872).

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

78442513128 is a wasteful number, since it uses less digits than its factorization.

78442513128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 78442513128 in words is "seventy-eight billion, four hundred forty-two million, five hundred thirteen thousand, one hundred twenty-eight".