54912457257840 has 960 divisors, whose sum is σ = 241150815360000. Its totient is φ = 10873532399616.

The previous prime is 54912457257769. The next prime is 54912457257857. The reversal of 54912457257840 is 4875275421945.

54912457257840 is a `hidden beast` number, since 5 + 4 + 9 + 1 + 2 + 4 + 57 + 2 + 578 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 132996036 + ... + 133408284.

It is an arithmetic number, because the mean of its divisors is an integer number (251198766000).

Almost surely, 2^{54912457257840} 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 54912457257840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120575407680000).

54912457257840 is an abundant number, since it is smaller than the sum of its proper divisors (186238358102160).

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

54912457257840 is a wasteful number, since it uses less digits than its factorization.

54912457257840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412414 (or 412405 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 54912457257840 in words is "fifty-four trillion, nine hundred twelve billion, four hundred fifty-seven million, two hundred fifty-seven thousand, eight hundred forty".