838055544480 has 576 divisors, whose sum is σ = 3684690051840. Its totient is φ = 174140651520.

The previous prime is 838055544467. The next prime is 838055544497. The reversal of 838055544480 is 84445550838.

838055544480 is a `hidden beast` number, since 8 + 3 + 8 + 0 + 5 + 554 + 4 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3544522 + ... + 3773558.

It is an arithmetic number, because the mean of its divisors is an integer number (6397031340).

Almost surely, 2^838055544480 is an apocalyptic number.

838055544480 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 838055544480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842345025920).

838055544480 is an abundant number, since it is smaller than the sum of its proper divisors (2846634507360).

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

838055544480 is a wasteful number, since it uses less digits than its factorization.

838055544480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229090 (or 229065 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 838055544480 in words is "eight hundred thirty-eight billion, fifty-five million, five hundred forty-four thousand, four hundred eighty".