54239867136000 has 4608 divisors, whose sum is σ = 255786389913600. Its totient is φ = 11236854988800.

The previous prime is 54239867135981. The next prime is 54239867136043. The reversal of 54239867136000 is 63176893245.

54239867136000 is a `hidden beast` number, since 5 + 4 + 23 + 9 + 8 + 6 + 7 + 1 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 427085567937 + ... + 427085568063.

It is an arithmetic number, because the mean of its divisors is an integer number (55509199200).

It is a 1-persistent number, because it is pandigital, but 2⋅54239867136000 = 108479734272000 is not.

Almost surely, 2^{54239867136000} is an apocalyptic number.

54239867136000 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 54239867136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127893194956800).

54239867136000 is an abundant number, since it is smaller than the sum of its proper divisors (201546522777600).

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

54239867136000 is a wasteful number, since it uses less digits than its factorization.

54239867136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 54239867136000 in words is "fifty-four trillion, two hundred thirty-nine billion, eight hundred sixty-seven million, one hundred thirty-six thousand".