85028486400000 has 5760 divisors, whose sum is σ = 395379704079360. Its totient is φ = 17915904000000.

The previous prime is 85028486399993. The next prime is 85028486400001. The reversal of 85028486400000 is 468482058.

85028486400000 is a `hidden beast` number, since 8 + 502 + 84 + 8 + 64 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85028486400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2298067199982 + ... + 2298067200018.

It is an arithmetic number, because the mean of its divisors is an integer number (68642309736).

Almost surely, 2^{85028486400000} is an apocalyptic number.

85028486400000 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 85028486400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197689852039680).

85028486400000 is an abundant number, since it is smaller than the sum of its proper divisors (310351217679360).

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

85028486400000 is a wasteful number, since it uses less digits than its factorization.

85028486400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 85028486400000 in words is "eighty-five trillion, twenty-eight billion, four hundred eighty-six million, four hundred thousand".