85745418220800 has 432 divisors, whose sum is σ = 338605856102080. Its totient is φ = 21106563932160.

The previous prime is 85745418220771. The next prime is 85745418220807. The reversal of 85745418220800 is 802281454758.

85745418220800 is a `hidden beast` number, since 8 + 5 + 7 + 454 + 182 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×85745418220800³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85745418220807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16838674 + ... + 21331473.

Almost surely, 2^{85745418220800} is an apocalyptic number.

85745418220800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85745418220800 is an abundant number, since it is smaller than the sum of its proper divisors (252860437881280).

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

85745418220800 is a wasteful number, since it uses less digits than its factorization.

85745418220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38170195 (or 38170170 counting only the distinct ones).

The product of its (nonzero) digits is 5734400, while the sum is 54.

The spelling of 85745418220800 in words is "eighty-five trillion, seven hundred forty-five billion, four hundred eighteen million, two hundred twenty thousand, eight hundred".