54459562994928 has 3200 divisors, whose sum is σ = 224276085411840. Its totient is φ = 12344774492160.

The previous prime is 54459562994789. The next prime is 54459562994929. The reversal of 54459562994928 is 82949926595445.

54459562994928 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 9 + 562 + 9 + 9 + 49 + 2 + 8 = 666.

54459562994928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54459562994929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 100664626338 + ... + 100664626878.

Almost surely, 2^{54459562994928} 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 54459562994928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112138042705920).

54459562994928 is an abundant number, since it is smaller than the sum of its proper divisors (169816522416912).

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

54459562994928 is a wasteful number, since it uses less digits than its factorization.

54459562994928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 702 counting only the distinct ones).

The product of its digits is 10077696000, while the sum is 81.

The spelling of 54459562994928 in words is "fifty-four trillion, four hundred fifty-nine billion, five hundred sixty-two million, nine hundred ninety-four thousand, nine hundred twenty-eight".