85717772743680 has 1408 divisors, whose sum is σ = 390059278479360. Its totient is φ = 17330014126080.

The previous prime is 85717772743679. The next prime is 85717772743699. The reversal of 85717772743680 is 8634727771758.

It is a happy number.

85717772743680 is a `hidden beast` number, since 8 + 57 + 1 + 77 + 72 + 7 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a junction number, because it is equal to n+sod(n) for n = 85717772743599 and 85717772743608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 393736939 + ... + 393954581.

Almost surely, 2^{85717772743680} is an apocalyptic number.

85717772743680 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 85717772743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195029639239680).

85717772743680 is an abundant number, since it is smaller than the sum of its proper divisors (304341505735680).

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

85717772743680 is a wasteful number, since it uses less digits than its factorization.

85717772743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217732 (or 217708 counting only the distinct ones).

The product of its (nonzero) digits is 774466560, while the sum is 72.

The spelling of 85717772743680 in words is "eighty-five trillion, seven hundred seventeen billion, seven hundred seventy-two million, seven hundred forty-three thousand, six hundred eighty".