54835989120 has 1280 divisors, whose sum is σ = 230971150080. Its totient is φ = 12262440960.

The previous prime is 54835989119. The next prime is 54835989127. The reversal of 54835989120 is 2198953845.

54835989120 is a `hidden beast` number, since 5 + 48 + 3 + 598 + 9 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54835989127) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 485274184 + ... + 485274296.

It is an arithmetic number, because the mean of its divisors is an integer number (180446211).

Almost surely, 2^54835989120 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 54835989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115485575040).

54835989120 is an abundant number, since it is smaller than the sum of its proper divisors (176135160960).

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

54835989120 is a wasteful number, since it uses less digits than its factorization.

54835989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 54835989120 in words is "fifty-four billion, eight hundred thirty-five million, nine hundred eighty-nine thousand, one hundred twenty".