80400424534560 has 1440 divisors, whose sum is σ = 324306225348336. Its totient is φ = 18633435955200.

The previous prime is 80400424534511. The next prime is 80400424534649. The reversal of 80400424534560 is 6543542400408.

80400424534560 is a `hidden beast` number, since 8 + 0 + 4 + 0 + 0 + 4 + 245 + 345 + 60 = 666.

80400424534560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 58252369640976 + 22148054893584 = 7632324^2 + 4706172^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5990636650 + ... + 5990650070.

Almost surely, 2^{80400424534560} is an apocalyptic number.

80400424534560 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 80400424534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162153112674168).

80400424534560 is an abundant number, since it is smaller than the sum of its proper divisors (243905800813776).

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

80400424534560 is a wasteful number, since it uses less digits than its factorization.

80400424534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13560 (or 13512 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Adding to 80400424534560 its reverse (6543542400408), we get a palindrome (86943966934968).

The spelling of 80400424534560 in words is "eighty trillion, four hundred billion, four hundred twenty-four million, five hundred thirty-four thousand, five hundred sixty".