85473160243200 has 1152 divisors, whose sum is σ = 332506368230400. Its totient is φ = 21475913564160.

The previous prime is 85473160243193. The next prime is 85473160243249. The reversal of 85473160243200 is 234206137458.

85473160243200 is a `hidden beast` number, since 8 + 5 + 4 + 7 + 3 + 1 + 602 + 4 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×85473160243200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2130258339 + ... + 2130298461.

It is an arithmetic number, because the mean of its divisors is an integer number (288634000200).

Almost surely, 2^{85473160243200} is an apocalyptic number.

85473160243200 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 85473160243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166253184115200).

85473160243200 is an abundant number, since it is smaller than the sum of its proper divisors (247033207987200).

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

85473160243200 is a wasteful number, since it uses less digits than its factorization.

85473160243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40254 (or 40223 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 85473160243200 in words is "eighty-five trillion, four hundred seventy-three billion, one hundred sixty million, two hundred forty-three thousand, two hundred".