54553705058304 has 195 divisors, whose sum is σ = 162980426701983. Its totient is φ = 18183150231552.

The previous prime is 54553705058297. The next prime is 54553705058317. The reversal of 54553705058304 is 40385050735545.

The square root of 54553705058304 is 7386048.

It is a perfect power (a square), and thus also a powerful number.

54553705058304 is a `hidden beast` number, since 5 + 4 + 5 + 5 + 3 + 7 + 0 + 50 + 583 + 0 + 4 = 666.

It is a super-2 number, since 2×54553705058304² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4254357237 + ... + 4254370059.

Almost surely, 2^{54553705058304} is an apocalyptic number.

54553705058304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54553705058304 is the 7386048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54553705058304

54553705058304 is an abundant number, since it is smaller than the sum of its proper divisors (108426721643679).

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

54553705058304 is an frugal number, since it uses more digits than its factorization.

54553705058304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25682 (or 12828 counting only the distinct ones).

The product of its (nonzero) digits is 25200000, while the sum is 54.

The spelling of 54553705058304 in words is "fifty-four trillion, five hundred fifty-three billion, seven hundred five million, fifty-eight thousand, three hundred four".