86436357120 has 880 divisors, whose sum is σ = 327993069888. Its totient is φ = 21737963520.

The previous prime is 86436357097. The next prime is 86436357127. The reversal of 86436357120 is 2175363468.

86436357120 is a `hidden beast` number, since 8 + 6 + 4 + 3 + 635 + 7 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86436357127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 659819455 + ... + 659819585.

Almost surely, 2^86436357120 is an apocalyptic number.

86436357120 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 86436357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163996534944).

86436357120 is an abundant number, since it is smaller than the sum of its proper divisors (241556712768).

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

86436357120 is a wasteful number, since it uses less digits than its factorization.

86436357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 86436 and 357120, that added together give a square (443556 = 666²).

The spelling of 86436357120 in words is "eighty-six billion, four hundred thirty-six million, three hundred fifty-seven thousand, one hundred twenty".