54094753440 has 864 divisors, whose sum is σ = 244928895120. Its totient is φ = 10738925568.

The previous prime is 54094753417. The next prime is 54094753459. The reversal of 54094753440 is 4435749045.

54094753440 is a `hidden beast` number, since 54 + 0 + 94 + 75 + 3 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6652686096 + 47442067344 = 81564^2 + 217812^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15592026 + ... + 15595494.

Almost surely, 2^54094753440 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 54094753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122464447560).

54094753440 is an abundant number, since it is smaller than the sum of its proper divisors (190834141680).

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

54094753440 is a wasteful number, since it uses less digits than its factorization.

54094753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 54094753440 in words is "fifty-four billion, ninety-four million, seven hundred fifty-three thousand, four hundred forty".