86789551680 has 448 divisors, whose sum is σ = 333934003200. Its totient is φ = 21091000320.

The previous prime is 86789551613. The next prime is 86789551697. The reversal of 86789551680 is 8615598768.

86789551680 is a `hidden beast` number, since 8 + 6 + 78 + 9 + 551 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8868390 + ... + 8878170.

It is an arithmetic number, because the mean of its divisors is an integer number (745388400).

Almost surely, 2^86789551680 is an apocalyptic number.

86789551680 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 86789551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166967001600).

86789551680 is an abundant number, since it is smaller than the sum of its proper divisors (247144451520).

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

86789551680 is a wasteful number, since it uses less digits than its factorization.

86789551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9899 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 86789551680 in words is "eighty-six billion, seven hundred eighty-nine million, five hundred fifty-one thousand, six hundred eighty".