86307750240 has 192 divisors, whose sum is σ = 284265676800. Its totient is φ = 21970049024.

The previous prime is 86307750233. The next prime is 86307750241. The reversal of 86307750240 is 4205770368.

It is a junction number, because it is equal to n+sod(n) for n = 86307750192 and 86307750201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86307750241) 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, 5611681 + ... + 5627039.

It is an arithmetic number, because the mean of its divisors is an integer number (1480550400).

Almost surely, 2^86307750240 is an apocalyptic number.

86307750240 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 86307750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142132838400).

86307750240 is an abundant number, since it is smaller than the sum of its proper divisors (197957926560).

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

86307750240 is a wasteful number, since it uses less digits than its factorization.

86307750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15909 (or 15901 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 86307750240 in words is "eighty-six billion, three hundred seven million, seven hundred fifty thousand, two hundred forty".