80024431531968 has 672 divisors, whose sum is σ = 291584761528320. Its totient is φ = 20379663083520.

The previous prime is 80024431531951. The next prime is 80024431531973. The reversal of 80024431531968 is 86913513442008.

It is a happy number.

80024431531968 is a `hidden beast` number, since 8 + 0 + 0 + 2 + 4 + 4 + 315 + 319 + 6 + 8 = 666.

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

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, 1002182221 + ... + 1002262067.

Almost surely, 2^{80024431531968} is an apocalyptic number.

80024431531968 is a gapful number since it is divisible by the number (88) 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 80024431531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145792380764160).

80024431531968 is an abundant number, since it is smaller than the sum of its proper divisors (211560329996352).

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

80024431531968 is a wasteful number, since it uses less digits than its factorization.

80024431531968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80325 (or 80312 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 80024431531968 in words is "eighty trillion, twenty-four billion, four hundred thirty-one million, five hundred thirty-one thousand, nine hundred sixty-eight".