80337971520 has 504 divisors, whose sum is σ = 293528846520. Its totient is φ = 20155269120.

The previous prime is 80337971501. The next prime is 80337971591. The reversal of 80337971520 is 2517973308.

It is a happy number.

80337971520 is a `hidden beast` number, since 8 + 0 + 3 + 37 + 97 + 1 + 520 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 18826035264 + 61511936256 = 137208^2 + 248016^2 .

It is a super-2 number, since 2×80337971520² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 99304876 + ... + 99305684.

It is an arithmetic number, because the mean of its divisors is an integer number (582398505).

Almost surely, 2^80337971520 is an apocalyptic number.

80337971520 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 80337971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764423260).

80337971520 is an abundant number, since it is smaller than the sum of its proper divisors (213190875000).

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

80337971520 is a wasteful number, since it uses less digits than its factorization.

80337971520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 80337971520 in words is "eighty billion, three hundred thirty-seven million, nine hundred seventy-one thousand, five hundred twenty".