86071796000 has 384 divisors, whose sum is σ = 228078789120. Its totient is φ = 31848960000.

The previous prime is 86071795981. The next prime is 86071796011. The reversal of 86071796000 is 69717068.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 548227922 + ... + 548228078.

It is an arithmetic number, because the mean of its divisors is an integer number (593955180).

Almost surely, 2^86071796000 is an apocalyptic number.

86071796000 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 86071796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114039394560).

86071796000 is an abundant number, since it is smaller than the sum of its proper divisors (142006993120).

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

86071796000 is a wasteful number, since it uses less digits than its factorization.

86071796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The spelling of 86071796000 in words is "eighty-six billion, seventy-one million, seven hundred ninety-six thousand".