85710687420096 has 392 divisors, whose sum is σ = 275682876959280. Its totient is φ = 26334994876416.

The previous prime is 85710687420091. The next prime is 85710687420101. The reversal of 85710687420096 is 69002478601758.

85710687420096 is a `hidden beast` number, since 8 + 57 + 10 + 68 + 7 + 420 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (85710687420091) and next prime (85710687420101).

It is not an unprimeable number, because it can be changed into a prime (85710687420091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31492570 + ... + 34105766.

Almost surely, 2^{85710687420096} 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 85710687420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137841438479640).

85710687420096 is an abundant number, since it is smaller than the sum of its proper divisors (189972189539184).

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

85710687420096 is a wasteful number, since it uses less digits than its factorization.

85710687420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613283 (or 2613258 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 85710687420096 in words is "eighty-five trillion, seven hundred ten billion, six hundred eighty-seven million, four hundred twenty thousand, ninety-six".