80586426240 has 192 divisors, whose sum is σ = 285796704960. Its totient is φ = 20908855296.

The previous prime is 80586426197. The next prime is 80586426251. The reversal of 80586426240 is 4262468508.

80586426240 is a `hidden beast` number, since 8 + 0 + 586 + 4 + 2 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24057 + ... + 402183.

It is an arithmetic number, because the mean of its divisors is an integer number (1488524505).

Almost surely, 2^80586426240 is an apocalyptic number.

80586426240 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 80586426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142898352480).

80586426240 is an abundant number, since it is smaller than the sum of its proper divisors (205210278720).

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

80586426240 is a wasteful number, since it uses less digits than its factorization.

80586426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378189 (or 378174 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 80586426240 in words is "eighty billion, five hundred eighty-six million, four hundred twenty-six thousand, two hundred forty".