85209062400000 has 2688 divisors, whose sum is σ = 393658294256640. Its totient is φ = 17694720000000.

The previous prime is 85209062399983. The next prime is 85209062400031. The reversal of 85209062400000 is 426090258.

It is a happy number.

85209062400000 is a `hidden beast` number, since 8 + 5 + 20 + 9 + 0 + 624 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53222399200 + ... + 53222400800.

It is an arithmetic number, because the mean of its divisors is an integer number (146450258280).

Almost surely, 2^{85209062400000} is an apocalyptic number.

85209062400000 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 85209062400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196829147128320).

85209062400000 is an abundant number, since it is smaller than the sum of its proper divisors (308449231856640).

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

85209062400000 is an equidigital number, since it uses as much as digits as its factorization.

85209062400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 85209062400000 its reverse (426090258), we get a palindrome (85209488490258).

The spelling of 85209062400000 in words is "eighty-five trillion, two hundred nine billion, sixty-two million, four hundred thousand".