85465286167800 has 1536 divisors, whose sum is σ = 359070446592000. Its totient is φ = 16281525657600.

The previous prime is 85465286167783. The next prime is 85465286167801. The reversal of 85465286167800 is 876168256458.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85465286167801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4114238214 + ... + 4114258986.

It is an arithmetic number, because the mean of its divisors is an integer number (233769822000).

Almost surely, 2^{85465286167800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85465286167800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179535223296000).

85465286167800 is an abundant number, since it is smaller than the sum of its proper divisors (273605160424200).

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

85465286167800 is a wasteful number, since it uses less digits than its factorization.

85465286167800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20981 (or 20972 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 66.

The spelling of 85465286167800 in words is "eighty-five trillion, four hundred sixty-five billion, two hundred eighty-six million, one hundred sixty-seven thousand, eight hundred".