86407891776 has 392 divisors, whose sum is σ = 264832509704. Its totient is φ = 27948810240.

The previous prime is 86407891747. The next prime is 86407891789. The reversal of 86407891776 is 67719870468.

86407891776 is a `hidden beast` number, since 86 + 407 + 89 + 1 + 7 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6951557376 + 79456334400 = 83376^2 + 281880^2 .

It is a super-2 number, since 2×86407891776² (a number of 23 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 276063396 + ... + 276063708.

It is an arithmetic number, because the mean of its divisors is an integer number (675593137).

Almost surely, 2^86407891776 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 86407891776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132416254852).

86407891776 is an abundant number, since it is smaller than the sum of its proper divisors (178424617928).

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

86407891776 is an equidigital number, since it uses as much as digits as its factorization.

86407891776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 86407891776 in words is "eighty-six billion, four hundred seven million, eight hundred ninety-one thousand, seven hundred seventy-six".