54005702020564 has 192 divisors, whose sum is σ = 116082009792000. Its totient is φ = 21493682380800.

The previous prime is 54005702020561. The next prime is 54005702020577. The reversal of 54005702020564 is 46502020750045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54005702020561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7828044387 + ... + 7828051285.

It is an arithmetic number, because the mean of its divisors is an integer number (604593801000).

Almost surely, 2^{54005702020564} 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 54005702020564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58041004896000).

54005702020564 is an abundant number, since it is smaller than the sum of its proper divisors (62076307771436).

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

54005702020564 is a wasteful number, since it uses less digits than its factorization.

54005702020564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10274 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The spelling of 54005702020564 in words is "fifty-four trillion, five billion, seven hundred two million, twenty thousand, five hundred sixty-four".