86724639360 has 448 divisors, whose sum is σ = 313159714560. Its totient is φ = 22954752000.

The previous prime is 86724639343. The next prime is 86724639367. The reversal of 86724639360 is 6393642768.

86724639360 is a `hidden beast` number, since 8 + 6 + 7 + 246 + 39 + 360 = 666.

It is a super-2 number, since 2×86724639360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86724639297 and 86724639306.

It is not an unprimeable number, because it can be changed into a prime (86724639367) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 70449945 + ... + 70451175.

It is an arithmetic number, because the mean of its divisors is an integer number (699017220).

Almost surely, 2^86724639360 is an apocalyptic number.

86724639360 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 86724639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156579857280).

86724639360 is an abundant number, since it is smaller than the sum of its proper divisors (226435075200).

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

86724639360 is a wasteful number, since it uses less digits than its factorization.

86724639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 86724639360 in words is "eighty-six billion, seven hundred twenty-four million, six hundred thirty-nine thousand, three hundred sixty".