86073873678342 has 160 divisors (see below), whose sum is σ = 217696111142400. Its totient is φ = 25179177240000.

The previous prime is 86073873678229. The next prime is 86073873678383. The reversal of 86073873678342 is 24387637837068.

86073873678342 is a `hidden beast` number, since 8 + 6 + 0 + 73 + 87 + 367 + 83 + 42 = 666.

It is a super-3 number, since 3×86073873678342³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301605217 + ... + 301890467.

It is an arithmetic number, because the mean of its divisors is an integer number (1360600694640).

Almost surely, 2^{86073873678342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86073873678342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108848055571200).

86073873678342 is an abundant number, since it is smaller than the sum of its proper divisors (131622237464058).

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

86073873678342 is a wasteful number, since it uses less digits than its factorization.

86073873678342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291144 (or 291135 counting only the distinct ones).

The product of its (nonzero) digits is 1365590016, while the sum is 72.

The spelling of 86073873678342 in words is "eighty-six trillion, seventy-three billion, eight hundred seventy-three million, six hundred seventy-eight thousand, three hundred forty-two".