54534914310240 has 2688 divisors, whose sum is σ = 256672153866240. Its totient is φ = 10625098530816.

The previous prime is 54534914310187. The next prime is 54534914310259. The reversal of 54534914310240 is 4201341943545.

It is a happy number.

54534914310240 is a `hidden beast` number, since 5 + 4 + 5 + 3 + 4 + 91 + 4 + 310 + 240 = 666.

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 447 ways as a sum of consecutive naturals, for example, 7079694229 + ... + 7079701931.

It is an arithmetic number, because the mean of its divisors is an integer number (95488152480).

Almost surely, 2^{54534914310240} 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 54534914310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128336076933120).

54534914310240 is an abundant number, since it is smaller than the sum of its proper divisors (202137239556000).

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

54534914310240 is a wasteful number, since it uses less digits than its factorization.

54534914310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 54534914310240 in words is "fifty-four trillion, five hundred thirty-four billion, nine hundred fourteen million, three hundred ten thousand, two hundred forty".