86353410222072 has 288 divisors, whose sum is σ = 277049488060800. Its totient is φ = 24220822082688.

The previous prime is 86353410222049. The next prime is 86353410222073. The reversal of 86353410222072 is 27022201435368.

86353410222072 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 3 + 410 + 2 + 220 + 7 + 2 = 666.

It is a super-2 number, since 2×86353410222072² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86353410222073) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151041183 + ... + 151611825.

It is an arithmetic number, because the mean of its divisors is an integer number (961977389100).

Almost surely, 2^{86353410222072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86353410222072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138524744030400).

86353410222072 is an abundant number, since it is smaller than the sum of its proper divisors (190696077838728).

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

86353410222072 is a wasteful number, since it uses less digits than its factorization.

86353410222072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571455 (or 571441 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 86353410222072 in words is "eighty-six trillion, three hundred fifty-three billion, four hundred ten million, two hundred twenty-two thousand, seventy-two".