54281813040 has 1200 divisors, whose sum is σ = 238944581568. Its totient is φ = 11179524096.

The previous prime is 54281813023. The next prime is 54281813041. The reversal of 54281813040 is 4031818245.

54281813040 is a `hidden beast` number, since 542 + 8 + 1 + 81 + 30 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54281812986 and 54281813004.

It is not an unprimeable number, because it can be changed into a prime (54281813041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 559606272 + ... + 559606368.

Almost surely, 2^54281813040 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 54281813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119472290784).

54281813040 is an abundant number, since it is smaller than the sum of its proper divisors (184662768528).

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

54281813040 is a wasteful number, since it uses less digits than its factorization.

54281813040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 54281813040 in words is "fifty-four billion, two hundred eighty-one million, eight hundred thirteen thousand, forty".