54234861120 has 896 divisors, whose sum is σ = 223248199680. Its totient is φ = 12262440960.

The previous prime is 54234861101. The next prime is 54234861173. The reversal of 54234861120 is 2116843245.

It is a happy number.

54234861120 is a `hidden beast` number, since 5 + 4 + 2 + 34 + 8 + 611 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93994272 + ... + 93994848.

Almost surely, 2^54234861120 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 54234861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111624099840).

54234861120 is an abundant number, since it is smaller than the sum of its proper divisors (169013338560).

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

54234861120 is a wasteful number, since it uses less digits than its factorization.

54234861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54234861120 in words is "fifty-four billion, two hundred thirty-four million, eight hundred sixty-one thousand, one hundred twenty".