86947804606320 has 240 divisors, whose sum is σ = 338694761433600. Its totient is φ = 19577160193536.

The previous prime is 86947804606319. The next prime is 86947804606339. The reversal of 86947804606320 is 2360640874968.

86947804606320 is a `hidden beast` number, since 8 + 6 + 94 + 7 + 8 + 0 + 460 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×86947804606320³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128405220 + ... + 129080579.

It is an arithmetic number, because the mean of its divisors is an integer number (1411228172640).

Almost surely, 2^{86947804606320} is an apocalyptic number.

86947804606320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86947804606320 is an abundant number, since it is smaller than the sum of its proper divisors (251746956827280).

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

86947804606320 is a wasteful number, since it uses less digits than its factorization.

86947804606320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257485892 (or 257485883 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 86947804606320 in words is "eighty-six trillion, nine hundred forty-seven billion, eight hundred four million, six hundred six thousand, three hundred twenty".