54912473441280 has 4928 divisors, whose sum is σ = 261731597352960. Its totient is φ = 10727183351808.

The previous prime is 54912473441263. The next prime is 54912473441291. The reversal of 54912473441280 is 8214437421945.

It is a happy number.

54912473441280 is a `hidden beast` number, since 5 + 4 + 9 + 1 + 2 + 473 + 44 + 128 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 432381680577 + ... + 432381680703.

Almost surely, 2^{54912473441280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54912473441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130865798676480).

54912473441280 is an abundant number, since it is smaller than the sum of its proper divisors (206819123911680).

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

54912473441280 is a wasteful number, since it uses less digits than its factorization.

54912473441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 54912473441280 in words is "fifty-four trillion, nine hundred twelve billion, four hundred seventy-three million, four hundred forty-one thousand, two hundred eighty".