54005653660624 has 80 divisors (see below), whose sum is σ = 111738852720000. Its totient is φ = 25224888826368.

The previous prime is 54005653660597. The next prime is 54005653660627. The reversal of 54005653660624 is 42606635650045.

54005653660624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54005653660624² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54005653660627) 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 15 ways as a sum of consecutive naturals, for example, 125570302 + ... + 125999650.

It is an arithmetic number, because the mean of its divisors is an integer number (1396735659000).

Almost surely, 2^{54005653660624} 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 54005653660624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55869426360000).

54005653660624 is an abundant number, since it is smaller than the sum of its proper divisors (57733199059376).

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

54005653660624 is a wasteful number, since it uses less digits than its factorization.

54005653660624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437372 (or 437366 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 52.

The spelling of 54005653660624 in words is "fifty-four trillion, five billion, six hundred fifty-three million, six hundred sixty thousand, six hundred twenty-four".