85663406476800 has 2880 divisors, whose sum is σ = 350429766297600. Its totient is φ = 20467128729600.

The previous prime is 85663406476799. The next prime is 85663406476847. The reversal of 85663406476800 is 867460436658.

85663406476800 is a `hidden beast` number, since 8 + 56 + 6 + 34 + 0 + 6 + 476 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 226024819011 + ... + 226024819389.

Almost surely, 2^{85663406476800} is an apocalyptic number.

85663406476800 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 85663406476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175214883148800).

85663406476800 is an abundant number, since it is smaller than the sum of its proper divisors (264766359820800).

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

85663406476800 is a wasteful number, since it uses less digits than its factorization.

85663406476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 85663406476800 in words is "eighty-five trillion, six hundred sixty-three billion, four hundred six million, four hundred seventy-six thousand, eight hundred".