54259773120 has 1008 divisors, whose sum is σ = 231613374720. Its totient is φ = 11415748608.

The previous prime is 54259773083. The next prime is 54259773121. The reversal of 54259773120 is 2137795245.

It is a happy number.

54259773120 is a `hidden beast` number, since 5 + 4 + 2 + 597 + 7 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54259773121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 390358011 + ... + 390358149.

Almost surely, 2^54259773120 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 54259773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115806687360).

54259773120 is an abundant number, since it is smaller than the sum of its proper divisors (177353601600).

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

54259773120 is a wasteful number, since it uses less digits than its factorization.

54259773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 54259773120 in words is "fifty-four billion, two hundred fifty-nine million, seven hundred seventy-three thousand, one hundred twenty".