86905647360 has 1728 divisors, whose sum is σ = 393144595200. Its totient is φ = 18059231232.

The previous prime is 86905647293. The next prime is 86905647383. The reversal of 86905647360 is 6374650968.

86905647360 is a `hidden beast` number, since 8 + 6 + 9 + 0 + 564 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86905647297 and 86905647306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1190488284 + ... + 1190488356.

Almost surely, 2^86905647360 is an apocalyptic number.

86905647360 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 86905647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196572297600).

86905647360 is an abundant number, since it is smaller than the sum of its proper divisors (306238947840).

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

86905647360 is a wasteful number, since it uses less digits than its factorization.

86905647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 86905647360 in words is "eighty-six billion, nine hundred five million, six hundred forty-seven thousand, three hundred sixty".