54425254263600 has 480 divisors, whose sum is σ = 192160509511680. Its totient is φ = 13057525760000.

The previous prime is 54425254263467. The next prime is 54425254263613. The reversal of 54425254263600 is 636245252445.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54425254263600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3478310977 + ... + 3478326623.

It is an arithmetic number, because the mean of its divisors is an integer number (400334394816).

Almost surely, 2^{54425254263600} is an apocalyptic number.

54425254263600 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 54425254263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96080254755840).

54425254263600 is an abundant number, since it is smaller than the sum of its proper divisors (137735255248080).

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

54425254263600 is a wasteful number, since it uses less digits than its factorization.

54425254263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18389 (or 18378 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 48.

The spelling of 54425254263600 in words is "fifty-four trillion, four hundred twenty-five billion, two hundred fifty-four million, two hundred sixty-three thousand, six hundred".