54772459289856 has 1152 divisors, whose sum is σ = 215860276961280. Its totient is φ = 13276038758400.

The previous prime is 54772459289851. The next prime is 54772459289857. The reversal of 54772459289856 is 65898295427745.

54772459289856 is a `hidden beast` number, since 5 + 4 + 7 + 7 + 2 + 459 + 2 + 89 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54772459289851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 501832666 + ... + 501941798.

It is an arithmetic number, because the mean of its divisors is an integer number (187378712640).

Almost surely, 2^{54772459289856} is an apocalyptic number.

54772459289856 is a gapful number since it is divisible by the number (56) 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 54772459289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107930138480640).

54772459289856 is an abundant number, since it is smaller than the sum of its proper divisors (161087817671424).

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

54772459289856 is a wasteful number, since it uses less digits than its factorization.

54772459289856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109240 (or 109220 counting only the distinct ones).

The product of its digits is 12192768000, while the sum is 81.

The spelling of 54772459289856 in words is "fifty-four trillion, seven hundred seventy-two billion, four hundred fifty-nine million, two hundred eighty-nine thousand, eight hundred fifty-six".