54834095533056 has 528 divisors, whose sum is σ = 170861964641280. Its totient is φ = 15589016862720.

The previous prime is 54834095533051. The next prime is 54834095533097. The reversal of 54834095533056 is 65033559043845.

It is not an unprimeable number, because it can be changed into a prime (54834095533051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34639352041 + ... + 34639353623.

It is an arithmetic number, because the mean of its divisors is an integer number (323602205760).

Almost surely, 2^{54834095533056} is an apocalyptic number.

54834095533056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54834095533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85430982320640).

54834095533056 is an abundant number, since it is smaller than the sum of its proper divisors (116027869108224).

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

54834095533056 is a wasteful number, since it uses less digits than its factorization.

54834095533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 60.

The spelling of 54834095533056 in words is "fifty-four trillion, eight hundred thirty-four billion, ninety-five million, five hundred thirty-three thousand, fifty-six".