86861555071620 has 384 divisors, whose sum is σ = 296008280064000. Its totient is φ = 18987834184704.

The previous prime is 86861555071609. The next prime is 86861555071667. The reversal of 86861555071620 is 2617055516868.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4358978097 + ... + 4358998023.

It is an arithmetic number, because the mean of its divisors is an integer number (770854896000).

Almost surely, 2^{86861555071620} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86861555071620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148004140032000).

86861555071620 is an abundant number, since it is smaller than the sum of its proper divisors (209146724992380).

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

86861555071620 is a wasteful number, since it uses less digits than its factorization.

86861555071620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29192 (or 29176 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 60.

The spelling of 86861555071620 in words is "eighty-six trillion, eight hundred sixty-one billion, five hundred fifty-five million, seventy-one thousand, six hundred twenty".