78152558584356 has 120 divisors (see below), whose sum is σ = 206363471280120. Its totient is φ = 25788621888000.

The previous prime is 78152558584343. The next prime is 78152558584369. The reversal of 78152558584356 is 65348585525187.

78152558584356 is a `hidden beast` number, since 7 + 8 + 1 + 5 + 2 + 5 + 5 + 8 + 584 + 35 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (78152558584343) and next prime (78152558584369).

It can be written as a sum of positive squares in 4 ways, for example, as 4799911356900 + 73352647227456 = 2190870^2 + 8564616^2 .

It is a super-2 number, since 2×78152558584356² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199060326 + ... + 199452546.

It is an arithmetic number, because the mean of its divisors is an integer number (1719695594001).

Almost surely, 2^{78152558584356} 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 78152558584356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103181735640060).

78152558584356 is an abundant number, since it is smaller than the sum of its proper divisors (128210912695764).

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

78152558584356 is a wasteful number, since it uses less digits than its factorization.

78152558584356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398427 (or 398416 counting only the distinct ones).

The product of its digits is 1612800000, while the sum is 72.

The spelling of 78152558584356 in words is "seventy-eight trillion, one hundred fifty-two billion, five hundred fifty-eight million, five hundred eighty-four thousand, three hundred fifty-six".