80624054050560 has 432 divisors, whose sum is σ = 279464480515584. Its totient is φ = 21460201832448.

The previous prime is 80624054050541. The next prime is 80624054050633. The reversal of 80624054050560 is 6505045042608.

80624054050560 is a `hidden beast` number, since 8 + 0 + 6 + 2 + 4 + 0 + 540 + 50 + 56 + 0 = 666.

80624054050560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×80624054050560³ (a number of 43 digits) contains 333 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 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, 17944367674 + ... + 17944372166.

It is an arithmetic number, because the mean of its divisors is an integer number (646908519712).

Almost surely, 2^{80624054050560} is an apocalyptic number.

80624054050560 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 80624054050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139732240257792).

80624054050560 is an abundant number, since it is smaller than the sum of its proper divisors (198840426465024).

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

80624054050560 is a wasteful number, since it uses less digits than its factorization.

80624054050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 80624054050560 in words is "eighty trillion, six hundred twenty-four billion, fifty-four million, fifty thousand, five hundred sixty".