85469238167040 has 6400 divisors, whose sum is σ = 432414223718400. Its totient is φ = 15603175784448.

The previous prime is 85469238167017. The next prime is 85469238167083. The reversal of 85469238167040 is 4076183296458.

85469238167040 is a `hidden beast` number, since 8 + 5 + 469 + 2 + 3 + 8 + 167 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 225512501571 + ... + 225512501949.

It is an arithmetic number, because the mean of its divisors is an integer number (67564722456).

It is a 1-persistent number, because it is pandigital, but 2⋅85469238167040 = 170938476334080 is not.

Almost surely, 2^{85469238167040} is an apocalyptic number.

85469238167040 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 85469238167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216207111859200).

85469238167040 is an abundant number, since it is smaller than the sum of its proper divisors (346944985551360).

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

85469238167040 is a wasteful number, since it uses less digits than its factorization.

85469238167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 85469238167040 in words is "eighty-five trillion, four hundred sixty-nine billion, two hundred thirty-eight million, one hundred sixty-seven thousand, forty".