86377221504 has 512 divisors, whose sum is σ = 303160320000. Its totient is φ = 23692124160.

The previous prime is 86377221451. The next prime is 86377221517. The reversal of 86377221504 is 40512277368.

86377221504 is a `hidden beast` number, since 8 + 6 + 377 + 221 + 50 + 4 = 666.

It is a super-3 number, since 3×86377221504³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 86377221504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111742462 + ... + 111743234.

It is an arithmetic number, because the mean of its divisors is an integer number (592110000).

Almost surely, 2^86377221504 is an apocalyptic number.

86377221504 is a gapful number since it is divisible by the number (84) 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 86377221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580160000).

86377221504 is an abundant number, since it is smaller than the sum of its proper divisors (216783098496).

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

86377221504 is a wasteful number, since it uses less digits than its factorization.

86377221504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 86377221504 in words is "eighty-six billion, three hundred seventy-seven million, two hundred twenty-one thousand, five hundred four".