54807666368400 has 675 divisors, whose sum is σ = 216265626345153. Its totient is φ = 13283153452800.

The previous prime is 54807666368381. The next prime is 54807666368417. The reversal of 54807666368400 is 486366670845.

The square root of 54807666368400 is 7403220.

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

It can be written as a sum of positive squares in only one way, i.e., 19730759892624 + 35076906475776 = 4441932^2 + 5922576^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14658373731 + ... + 14658377469.

Almost surely, 2^{54807666368400} is an apocalyptic number.

54807666368400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54807666368400 is the 7403220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54807666368400

54807666368400 is an abundant number, since it is smaller than the sum of its proper divisors (161457959976753).

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

54807666368400 is an equidigital number, since it uses as much as digits as its factorization.

54807666368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7530 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 54807666368400 in words is "fifty-four trillion, eight hundred seven billion, six hundred sixty-six million, three hundred sixty-eight thousand, four hundred".