78030558144 has 672 divisors, whose sum is σ = 306267526656. Its totient is φ = 19070484480.

The previous prime is 78030558091. The next prime is 78030558167. The reversal of 78030558144 is 44185503087.

78030558144 is a `hidden beast` number, since 7 + 80 + 3 + 0 + 558 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 78030558144.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 20355652 + ... + 20359484.

It is an arithmetic number, because the mean of its divisors is an integer number (455755248).

Almost surely, 2^78030558144 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 78030558144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153133763328).

78030558144 is an abundant number, since it is smaller than the sum of its proper divisors (228236968512).

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

78030558144 is a wasteful number, since it uses less digits than its factorization.

78030558144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 78030558144 in words is "seventy-eight billion, thirty million, five hundred fifty-eight thousand, one hundred forty-four".