54839268000 has 1152 divisors, whose sum is σ = 230784712704. Its totient is φ = 12659328000.

The previous prime is 54839267963. The next prime is 54839268013. The reversal of 54839268000 is 86293845.

54839268000 is a `hidden beast` number, since 5 + 483 + 92 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 245915889 + ... + 245916111.

It is an arithmetic number, because the mean of its divisors is an integer number (200333952).

Almost surely, 2^54839268000 is an apocalyptic number.

54839268000 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 54839268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115392356352).

54839268000 is an abundant number, since it is smaller than the sum of its proper divisors (175945444704).

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

54839268000 is a wasteful number, since it uses less digits than its factorization.

54839268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 54839268000 in words is "fifty-four billion, eight hundred thirty-nine million, two hundred sixty-eight thousand".