86404728443040 has 1536 divisors, whose sum is σ = 361369257984000. Its totient is φ = 19268475125760.

The previous prime is 86404728443029. The next prime is 86404728443051. The reversal of 86404728443040 is 4034482740468.

86404728443040 is a `hidden beast` number, since 8 + 64 + 0 + 4 + 72 + 84 + 430 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86404728443029) and next prime (86404728443051).

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10204876887 + ... + 10204885353.

It is an arithmetic number, because the mean of its divisors is an integer number (235266444000).

Almost surely, 2^{86404728443040} is an apocalyptic number.

86404728443040 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 86404728443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180684628992000).

86404728443040 is an abundant number, since it is smaller than the sum of its proper divisors (274964529540960).

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

86404728443040 is a wasteful number, since it uses less digits than its factorization.

86404728443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 86404728443040 in words is "eighty-six trillion, four hundred four billion, seven hundred twenty-eight million, four hundred forty-three thousand, forty".