86200221120000 has 1200 divisors, whose sum is σ = 311603240044800. Its totient is φ = 21159211008000.

The previous prime is 86200221119989. The next prime is 86200221120049. The reversal of 86200221120000 is 2112200268.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×86200221120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 97181759557 + ... + 97181760443.

It is an arithmetic number, because the mean of its divisors is an integer number (259669366704).

Almost surely, 2^{86200221120000} is an apocalyptic number.

86200221120000 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 86200221120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155801620022400).

86200221120000 is an abundant number, since it is smaller than the sum of its proper divisors (225403018924800).

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

86200221120000 is an equidigital number, since it uses as much as digits as its factorization.

86200221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 86200221120000 its reverse (2112200268), we get a palindrome (86202333320268).

The spelling of 86200221120000 in words is "eighty-six trillion, two hundred billion, two hundred twenty-one million, one hundred twenty thousand".