85417429997016 has 400 divisors, whose sum is σ = 261326541183000. Its totient is φ = 25851429002880.

The previous prime is 85417429996981. The next prime is 85417429997017. The reversal of 85417429997016 is 61079992471458.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

85417429997016 is a `hidden beast` number, since 8 + 5 + 41 + 7 + 429 + 99 + 70 + 1 + 6 = 666.

It is a super-3 number, since 3×85417429997016³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 85417429997016 = 13481³ + 43615³ = 19032³ + 42822³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85417429997017) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1400285737626 + ... + 1400285737686.

Almost surely, 2^{85417429997016} 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 85417429997016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130663270591500).

85417429997016 is an abundant number, since it is smaller than the sum of its proper divisors (175909111185984).

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

85417429997016 is an frugal number, since it uses more digits than its factorization.

85417429997016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 85417429997016 in words is "eighty-five trillion, four hundred seventeen billion, four hundred twenty-nine million, nine hundred ninety-seven thousand, sixteen".