54785982113280 has 960 divisors, whose sum is σ = 214077407544000. Its totient is φ = 13270686105600.

The previous prime is 54785982113273. The next prime is 54785982113293. The reversal of 54785982113280 is 8231128958745.

54785982113280 is a `hidden beast` number, since 5 + 4 + 7 + 8 + 5 + 98 + 211 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×54785982113280² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16300498800 + ... + 16300502160.

It is an arithmetic number, because the mean of its divisors is an integer number (222997299525).

Almost surely, 2^{54785982113280} 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 54785982113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107038703772000).

54785982113280 is an abundant number, since it is smaller than the sum of its proper divisors (159291425430720).

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

54785982113280 is a wasteful number, since it uses less digits than its factorization.

54785982113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 54785982113280 in words is "fifty-four trillion, seven hundred eighty-five billion, nine hundred eighty-two million, one hundred thirteen thousand, two hundred eighty".