86612381577020 has 192 divisors, whose sum is σ = 207850125240576. Its totient is φ = 30072736235520.

The previous prime is 86612381576971. The next prime is 86612381577041. The reversal of 86612381577020 is 2077518321668.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 728406212 + ... + 728525108.

It is an arithmetic number, because the mean of its divisors is an integer number (1082552735628).

Almost surely, 2^{86612381577020} 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 86612381577020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103925062620288).

86612381577020 is an abundant number, since it is smaller than the sum of its proper divisors (121237743663556).

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

86612381577020 is a wasteful number, since it uses less digits than its factorization.

86612381577020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121000 (or 120998 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

Adding to 86612381577020 its reverse (2077518321668), we get a palindrome (88689899898688).

The spelling of 86612381577020 in words is "eighty-six trillion, six hundred twelve billion, three hundred eighty-one million, five hundred seventy-seven thousand, twenty".