54130876800 has 1536 divisors, whose sum is σ = 246824202240. Its totient is φ = 10063872000.

The previous prime is 54130876783. The next prime is 54130876831. The reversal of 54130876800 is 867803145.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 413212735 + ... + 413212865.

It is an arithmetic number, because the mean of its divisors is an integer number (160692840).

Almost surely, 2^54130876800 is an apocalyptic number.

54130876800 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 54130876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123412101120).

54130876800 is an abundant number, since it is smaller than the sum of its proper divisors (192693325440).

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

54130876800 is a wasteful number, since it uses less digits than its factorization.

54130876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

It can be divided in two parts, 54130 and 876800, that added together give a triangular number (930930 = T₁₃₆₄).

The spelling of 54130876800 in words is "fifty-four billion, one hundred thirty million, eight hundred seventy-six thousand, eight hundred".