86100414180000 has 960 divisors, whose sum is σ = 310512559674240. Its totient is φ = 20710144000000.

The previous prime is 86100414179981. The next prime is 86100414180059. The reversal of 86100414180000 is 8141400168.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66180179350 + ... + 66180180650.

It is an arithmetic number, because the mean of its divisors is an integer number (323450582994).

Almost surely, 2^{86100414180000} is an apocalyptic number.

86100414180000 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 86100414180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155256279837120).

86100414180000 is an abundant number, since it is smaller than the sum of its proper divisors (224412145494240).

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

86100414180000 is a wasteful number, since it uses less digits than its factorization.

86100414180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

Adding to 86100414180000 its reverse (8141400168), we get a palindrome (86108555580168).

The spelling of 86100414180000 in words is "eighty-six trillion, one hundred billion, four hundred fourteen million, one hundred eighty thousand".