86177710080000 has 4560 divisors, whose sum is σ = 418247144071680. Its totient is φ = 17128488960000.

The previous prime is 86177710079999. The next prime is 86177710080029. The reversal of 86177710080000 is 8001777168.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3746856959989 + ... + 3746856960011.

It is an arithmetic number, because the mean of its divisors is an integer number (91720864928).

Almost surely, 2^{86177710080000} is an apocalyptic number.

86177710080000 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 86177710080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209123572035840).

86177710080000 is an abundant number, since it is smaller than the sum of its proper divisors (332069433991680).

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

86177710080000 is an frugal number, since it uses more digits than its factorization.

86177710080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The spelling of 86177710080000 in words is "eighty-six trillion, one hundred seventy-seven billion, seven hundred ten million, eighty thousand".