54564037274880 has 1728 divisors, whose sum is σ = 245273573664000. Its totient is φ = 11407748825088.

The previous prime is 54564037274807. The next prime is 54564037274897. The reversal of 54564037274880 is 8847273046545.

54564037274880 is a `hidden beast` number, since 5 + 4 + 564 + 0 + 3 + 7 + 27 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 933056202 + ... + 933114678.

It is an arithmetic number, because the mean of its divisors is an integer number (141940725500).

Almost surely, 2^{54564037274880} 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 54564037274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122636786832000).

54564037274880 is an abundant number, since it is smaller than the sum of its proper divisors (190709536389120).

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

54564037274880 is a wasteful number, since it uses less digits than its factorization.

54564037274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58569 (or 58542 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 54564037274880 in words is "fifty-four trillion, five hundred sixty-four billion, thirty-seven million, two hundred seventy-four thousand, eight hundred eighty".