8054374348800 has 1728 divisors, whose sum is σ = 33186571236000. Its totient is φ = 1849310576640.

The previous prime is 8054374348793. The next prime is 8054374348883. The reversal of 8054374348800 is 88434734508.

8054374348800 is a `hidden beast` number, since 80 + 5 + 43 + 7 + 43 + 488 + 0 + 0 = 666.

It is a super-2 number, since 2×8054374348800² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14155314916 + ... + 14155315484.

Almost surely, 2^{8054374348800} is an apocalyptic number.

8054374348800 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 8054374348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593285618000).

8054374348800 is an abundant number, since it is smaller than the sum of its proper divisors (25132196887200).

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

8054374348800 is a wasteful number, since it uses less digits than its factorization.

8054374348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 8054374348800 in words is "eight trillion, fifty-four billion, three hundred seventy-four million, three hundred forty-eight thousand, eight hundred".