54937745280 has 384 divisors, whose sum is σ = 208496527200. Its totient is φ = 13218938880.

The previous prime is 54937745251. The next prime is 54937745297. The reversal of 54937745280 is 8254773945.

It is a happy number.

54937745280 is a `hidden beast` number, since 5 + 49 + 3 + 7 + 74 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 8677156 + ... + 8683484.

Almost surely, 2^54937745280 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 54937745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104248263600).

54937745280 is an abundant number, since it is smaller than the sum of its proper divisors (153558781920).

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

54937745280 is a wasteful number, since it uses less digits than its factorization.

54937745280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 6487 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 54937745280 in words is "fifty-four billion, nine hundred thirty-seven million, seven hundred forty-five thousand, two hundred eighty".