54898437834240 has 5120 divisors, whose sum is σ = 259442594611200. Its totient is φ = 9529668403200.

The previous prime is 54898437834209. The next prime is 54898437834241. The reversal of 54898437834240 is 4243873489845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54898437834241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 532994542029 + ... + 532994542131.

It is an arithmetic number, because the mean of its divisors is an integer number (50672381760).

Almost surely, 2^{54898437834240} 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 54898437834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129721297305600).

54898437834240 is an abundant number, since it is smaller than the sum of its proper divisors (204544156776960).

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

54898437834240 is a wasteful number, since it uses less digits than its factorization.

54898437834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 69.

The spelling of 54898437834240 in words is "fifty-four trillion, eight hundred ninety-eight billion, four hundred thirty-seven million, eight hundred thirty-four thousand, two hundred forty".