86449559040 has 1280 divisors, whose sum is σ = 356377190400. Its totient is φ = 19697762304.

The previous prime is 86449559011. The next prime is 86449559041. The reversal of 86449559040 is 4095594468.

86449559040 is a `hidden beast` number, since 8 + 6 + 4 + 4 + 9 + 5 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86449559041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 971343316 + ... + 971343404.

It is an arithmetic number, because the mean of its divisors is an integer number (278419680).

Almost surely, 2^86449559040 is an apocalyptic number.

86449559040 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 86449559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178188595200).

86449559040 is an abundant number, since it is smaller than the sum of its proper divisors (269927631360).

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

86449559040 is a wasteful number, since it uses less digits than its factorization.

86449559040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 86449559040 in words is "eighty-six billion, four hundred forty-nine million, five hundred fifty-nine thousand, forty".