85146959936304 has 640 divisors, whose sum is σ = 295107054796800. Its totient is φ = 22962152263680.

The previous prime is 85146959936299. The next prime is 85146959936341. The reversal of 85146959936304 is 40363995964158.

85146959936304 is a `hidden beast` number, since 8 + 5 + 146 + 95 + 9 + 93 + 6 + 304 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29949685507 + ... + 29949688349.

It is an arithmetic number, because the mean of its divisors is an integer number (461104773120).

Almost surely, 2^{85146959936304} is an apocalyptic number.

85146959936304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85146959936304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147553527398400).

85146959936304 is an abundant number, since it is smaller than the sum of its proper divisors (209960094860496).

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

85146959936304 is a wasteful number, since it uses less digits than its factorization.

85146959936304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 85146959936304 in words is "eighty-five trillion, one hundred forty-six billion, nine hundred fifty-nine million, nine hundred thirty-six thousand, three hundred four".