80028824556800 has 432 divisors, whose sum is σ = 231550578564480. Its totient is φ = 26817326776320.

The previous prime is 80028824556743. The next prime is 80028824556817. The reversal of 80028824556800 is 865542882008.

It is a super-2 number, since 2×80028824556800² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 457186094 + ... + 457361106.

It is an arithmetic number, because the mean of its divisors is an integer number (535996709640).

Almost surely, 2^{80028824556800} is an apocalyptic number.

80028824556800 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 80028824556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115775289282240).

80028824556800 is an abundant number, since it is smaller than the sum of its proper divisors (151521754007680).

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

80028824556800 is a wasteful number, since it uses less digits than its factorization.

80028824556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175278 (or 175259 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 56.

The spelling of 80028824556800 in words is "eighty trillion, twenty-eight billion, eight hundred twenty-four million, five hundred fifty-six thousand, eight hundred".