80519826240 has 672 divisors, whose sum is σ = 331858924800. Its totient is φ = 17898983424.

The previous prime is 80519826227. The next prime is 80519826293. The reversal of 80519826240 is 4262891508.

80519826240 is a `hidden beast` number, since 8 + 0 + 5 + 19 + 8 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 36548979 + ... + 36551181.

Almost surely, 2^80519826240 is an apocalyptic number.

80519826240 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 80519826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165929462400).

80519826240 is an abundant number, since it is smaller than the sum of its proper divisors (251339098560).

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

80519826240 is a wasteful number, since it uses less digits than its factorization.

80519826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 80519826240 in words is "eighty billion, five hundred nineteen million, eight hundred twenty-six thousand, two hundred forty".