86216047080000 has 560 divisors, whose sum is σ = 286437265234560. Its totient is φ = 22879373312000.

The previous prime is 86216047079993. The next prime is 86216047080071. The reversal of 86216047080000 is 8074061268.

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, 23995558204 + ... + 23995561796.

Almost surely, 2^{86216047080000} is an apocalyptic number.

86216047080000 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 86216047080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143218632617280).

86216047080000 is an abundant number, since it is smaller than the sum of its proper divisors (200221218154560).

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

86216047080000 is a wasteful number, since it uses less digits than its factorization.

86216047080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4544 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 86216047080000 in words is "eighty-six trillion, two hundred sixteen billion, forty-seven million, eighty thousand".