84578095038528 has 896 divisors, whose sum is σ = 320340356259840. Its totient is φ = 21268875386880.

The previous prime is 84578095038523. The next prime is 84578095038533. The reversal of 84578095038528 is 82583059087548.

It is a happy number.

84578095038528 is a `hidden beast` number, since 8 + 4 + 5 + 7 + 8 + 0 + 95 + 0 + 3 + 8 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (84578095038523) and next prime (84578095038533).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (84578095038523) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1146458283 + ... + 1146532053.

It is an arithmetic number, because the mean of its divisors is an integer number (357522719040).

Almost surely, 2^{84578095038528} 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 84578095038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160170178129920).

84578095038528 is an abundant number, since it is smaller than the sum of its proper divisors (235762261221312).

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

84578095038528 is a wasteful number, since it uses less digits than its factorization.

84578095038528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74152 (or 74136 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 84578095038528 in words is "eighty-four trillion, five hundred seventy-eight billion, ninety-five million, thirty-eight thousand, five hundred twenty-eight".