54281949120 has 840 divisors, whose sum is σ = 227879087040. Its totient is φ = 12227604480.

The previous prime is 54281949109. The next prime is 54281949191. The reversal of 54281949120 is 2194918245.

It is a happy number.

54281949120 is a `hidden beast` number, since 542 + 8 + 1 + 94 + 9 + 12 + 0 = 666.

54281949120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 100336050 + ... + 100336590.

Almost surely, 2^54281949120 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 54281949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113939543520).

54281949120 is an abundant number, since it is smaller than the sum of its proper divisors (173597137920).

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

54281949120 is a wasteful number, since it uses less digits than its factorization.

54281949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 54281949120 in words is "fifty-four billion, two hundred eighty-one million, nine hundred forty-nine thousand, one hundred twenty".