54833653052288 has 128 divisors (see below), whose sum is σ = 119587247216640. Its totient is φ = 24837216768000.

The previous prime is 54833653052231. The next prime is 54833653052317. The reversal of 54833653052288 is 88225035633845.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54833653052288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462816545 + ... + 462935007.

It is an arithmetic number, because the mean of its divisors is an integer number (934275368880).

Almost surely, 2^{54833653052288} 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 54833653052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59793623608320).

54833653052288 is an abundant number, since it is smaller than the sum of its proper divisors (64753594164352).

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

54833653052288 is a wasteful number, since it uses less digits than its factorization.

54833653052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119636 (or 119624 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 62.

The spelling of 54833653052288 in words is "fifty-four trillion, eight hundred thirty-three billion, six hundred fifty-three million, fifty-two thousand, two hundred eighty-eight".