85051014581376 has 384 divisors, whose sum is σ = 268801759699200. Its totient is φ = 26676299317248.

The previous prime is 85051014581353. The next prime is 85051014581383. The reversal of 85051014581376 is 67318541015058.

85051014581376 is a `hidden beast` number, since 8 + 5 + 0 + 5 + 10 + 14 + 581 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529080530 + ... + 2529114158.

It is an arithmetic number, because the mean of its divisors is an integer number (700004582550).

Almost surely, 2^{85051014581376} 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 85051014581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400879849600).

85051014581376 is an abundant number, since it is smaller than the sum of its proper divisors (183750745117824).

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

85051014581376 is a wasteful number, since it uses less digits than its factorization.

85051014581376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38458 (or 38434 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 85051014581376 in words is "eighty-five trillion, fifty-one billion, fourteen million, five hundred eighty-one thousand, three hundred seventy-six".