86372229120 has 448 divisors, whose sum is σ = 295554562560. Its totient is φ = 21462253568.

The previous prime is 86372229101. The next prime is 86372229121. The reversal of 86372229120 is 2192227368.

It is not an unprimeable number, because it can be changed into a prime (86372229121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361389961 + ... + 361390199.

Almost surely, 2^86372229120 is an apocalyptic number.

86372229120 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 86372229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147777281280).

86372229120 is an abundant number, since it is smaller than the sum of its proper divisors (209182333440).

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

86372229120 is a wasteful number, since it uses less digits than its factorization.

86372229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 86372229120 in words is "eighty-six billion, three hundred seventy-two million, two hundred twenty-nine thousand, one hundred twenty".