86014621440 has 864 divisors, whose sum is σ = 341620097280. Its totient is φ = 20473896960.

The previous prime is 86014621391. The next prime is 86014621447. The reversal of 86014621440 is 4412641068.

It is a happy number.

86014621440 is a `hidden beast` number, since 8 + 601 + 4 + 6 + 2 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86014621395 and 86014621404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86014621447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280177767 + ... + 280178073.

Almost surely, 2^86014621440 is an apocalyptic number.

86014621440 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 86014621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170810048640).

86014621440 is an abundant number, since it is smaller than the sum of its proper divisors (255605475840).

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

86014621440 is a wasteful number, since it uses less digits than its factorization.

86014621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 86014621440 in words is "eighty-six billion, fourteen million, six hundred twenty-one thousand, four hundred forty".