54680832000 has 672 divisors, whose sum is σ = 205279696440. Its totient is φ = 14531788800.

The previous prime is 54680831911. The next prime is 54680832023. The reversal of 54680832000 is 23808645.

54680832000 is a `hidden beast` number, since 546 + 80 + 8 + 32 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30762353664 + 23918478336 = 175392^2 + 154656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 186623854 + ... + 186624146.

Almost surely, 2^54680832000 is an apocalyptic number.

54680832000 is a gapful number since it is divisible by the number (50) 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 54680832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102639848220).

54680832000 is an abundant number, since it is smaller than the sum of its proper divisors (150598864440).

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

54680832000 is an frugal number, since it uses more digits than its factorization.

54680832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54680832000 in words is "fifty-four billion, six hundred eighty million, eight hundred thirty-two thousand".