54057020746200 has 192 divisors, whose sum is σ = 168078917856000. Its totient is φ = 14372065405440.

The previous prime is 54057020746187. The next prime is 54057020746219. The reversal of 54057020746200 is 264702075045.

It is a super-2 number, since 2×54057020746200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312275271 + ... + 312448329.

It is an arithmetic number, because the mean of its divisors is an integer number (875411030500).

Almost surely, 2^{54057020746200} is an apocalyptic number.

54057020746200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54057020746200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84039458928000).

54057020746200 is an abundant number, since it is smaller than the sum of its proper divisors (114021897109800).

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

54057020746200 is a wasteful number, since it uses less digits than its factorization.

54057020746200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174634 (or 174625 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 54057020746200 in words is "fifty-four trillion, fifty-seven billion, twenty million, seven hundred forty-six thousand, two hundred".