85902218496000 has 576 divisors, whose sum is σ = 321098549466240. Its totient is φ = 22907241676800.

The previous prime is 85902218495993. The next prime is 85902218496019. The reversal of 85902218496000 is 69481220958.

It is a happy number.

85902218496000 is a `hidden beast` number, since 8 + 5 + 9 + 0 + 2 + 21 + 8 + 4 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×85902218496000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61517557 + ... + 62898443.

It is an arithmetic number, because the mean of its divisors is an integer number (557462759490).

Almost surely, 2^{85902218496000} is an apocalyptic number.

85902218496000 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 85902218496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160549274733120).

85902218496000 is an abundant number, since it is smaller than the sum of its proper divisors (235196330970240).

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

85902218496000 is an equidigital number, since it uses as much as digits as its factorization.

85902218496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380939 (or 1380897 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 85902218496000 in words is "eighty-five trillion, nine hundred two billion, two hundred eighteen million, four hundred ninety-six thousand".