85958627863680 has 1024 divisors, whose sum is σ = 358411640832000. Its totient is φ = 19195075215360.

The previous prime is 85958627863621. The next prime is 85958627863747. The reversal of 85958627863680 is 8636872685958.

85958627863680 is a `hidden beast` number, since 8 + 5 + 9 + 586 + 27 + 8 + 6 + 3 + 6 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85958627863680.

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, 1183591849 + ... + 1183664471.

It is an arithmetic number, because the mean of its divisors is an integer number (350011368000).

Almost surely, 2^{85958627863680} is an apocalyptic number.

85958627863680 is a gapful number since it is divisible by the number (80) 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 85958627863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179205820416000).

85958627863680 is an abundant number, since it is smaller than the sum of its proper divisors (272453012968320).

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

85958627863680 is a wasteful number, since it uses less digits than its factorization.

85958627863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73154 (or 73136 counting only the distinct ones).

The product of its (nonzero) digits is 8360755200, while the sum is 81.

The spelling of 85958627863680 in words is "eighty-five trillion, nine hundred fifty-eight billion, six hundred twenty-seven million, eight hundred sixty-three thousand, six hundred eighty".