86741616752640 has 1920 divisors, whose sum is σ = 327909933711360. Its totient is φ = 21905178624000.

The previous prime is 86741616752629. The next prime is 86741616752653. The reversal of 86741616752640 is 4625761614768.

86741616752640 is a `hidden beast` number, since 8 + 6 + 7 + 4 + 1 + 6 + 1 + 67 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 329816033149 + ... + 329816033411.

It is an arithmetic number, because the mean of its divisors is an integer number (170786423808).

Almost surely, 2^{86741616752640} is an apocalyptic number.

86741616752640 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 86741616752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163954966855680).

86741616752640 is an abundant number, since it is smaller than the sum of its proper divisors (241168316958720).

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

86741616752640 is a wasteful number, since it uses less digits than its factorization.

86741616752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 86741616752640 in words is "eighty-six trillion, seven hundred forty-one billion, six hundred sixteen million, seven hundred fifty-two thousand, six hundred forty".