86544224788077 has 48 divisors (see below), whose sum is σ = 143779880375040. Its totient is φ = 49137741110016.

The previous prime is 86544224788067. The next prime is 86544224788117. The reversal of 86544224788077 is 77088742244568.

86544224788077 is a `hidden beast` number, since 8 + 6 + 5 + 4 + 4 + 2 + 2 + 478 + 80 + 77 = 666.

It is not a de Polignac number, because 86544224788077 - 2⁶ = 86544224788013 is a prime.

It is a super-2 number, since 2×86544224788077² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86544224787996 and 86544224788014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86544224788067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663907768 + ... + 664038110.

It is an arithmetic number, because the mean of its divisors is an integer number (2995414174480).

Almost surely, 2^{86544224788077} is an apocalyptic number.

It is an amenable number.

86544224788077 is a deficient number, since it is larger than the sum of its proper divisors (57235655586963).

86544224788077 is a wasteful number, since it uses less digits than its factorization.

86544224788077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197642 (or 197639 counting only the distinct ones).

The product of its (nonzero) digits is 1348730880, while the sum is 72.

The spelling of 86544224788077 in words is "eighty-six trillion, five hundred forty-four billion, two hundred twenty-four million, seven hundred eighty-eight thousand, seventy-seven".