80428991938560 has 1536 divisors, whose sum is σ = 301531547116800. Its totient is φ = 20547391979520.

The previous prime is 80428991938541. The next prime is 80428991938571. The reversal of 80428991938560 is 6583919982408.

80428991938560 is a `hidden beast` number, since 8 + 0 + 4 + 28 + 9 + 9 + 1 + 9 + 38 + 560 = 666.

80428991938560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104589065856 + ... + 104589066624.

Almost surely, 2^{80428991938560} is an apocalyptic number.

80428991938560 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 80428991938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150765773558400).

80428991938560 is an abundant number, since it is smaller than the sum of its proper divisors (221102555178240).

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

80428991938560 is an frugal number, since it uses more digits than its factorization.

80428991938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 80428991938560 in words is "eighty trillion, four hundred twenty-eight billion, nine hundred ninety-one million, nine hundred thirty-eight thousand, five hundred sixty".