85405569652800 has 1008 divisors, whose sum is σ = 344805791016960. Its totient is φ = 20695934730240.

The previous prime is 85405569652769. The next prime is 85405569652859. The reversal of 85405569652800 is 825696550458.

85405569652800 is a `hidden beast` number, since 8 + 5 + 4 + 0 + 5 + 569 + 65 + 2 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×85405569652800² (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 143 ways as a sum of consecutive naturals, for example, 191455617 + ... + 191901183.

It is an arithmetic number, because the mean of its divisors is an integer number (342069237120).

Almost surely, 2^{85405569652800} is an apocalyptic number.

85405569652800 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 85405569652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172402895508480).

85405569652800 is an abundant number, since it is smaller than the sum of its proper divisors (259400221364160).

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

85405569652800 is a wasteful number, since it uses less digits than its factorization.

85405569652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445650 (or 445623 counting only the distinct ones).

The product of its (nonzero) digits is 103680000, while the sum is 63.

The spelling of 85405569652800 in words is "eighty-five trillion, four hundred five billion, five hundred sixty-nine million, six hundred fifty-two thousand, eight hundred".