80435766544 has 75 divisors (see below), whose sum is σ = 181933260567. Its totient is φ = 34448647968.

The previous prime is 80435766479. The next prime is 80435766553. The reversal of 80435766544 is 44566753408.

The square root of 80435766544 is 283612.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 80435766491 and 80435766500.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 55587229 + ... + 55588675.

Almost surely, 2^80435766544 is an apocalyptic number.

80435766544 is the 283612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80435766544

80435766544 is an abundant number, since it is smaller than the sum of its proper divisors (101497494023).

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

80435766544 is an frugal number, since it uses more digits than its factorization.

80435766544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 80435766544 in words is "eighty billion, four hundred thirty-five million, seven hundred sixty-six thousand, five hundred forty-four".