55847142400 has 297 divisors, whose sum is σ = 161801452917. Its totient is φ = 19056844800.

The previous prime is 55847142389. The next prime is 55847142479. The reversal of 55847142400 is 424174855.

The square root of 55847142400 is 236320.

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., 20104971264 + 35742171136 = 141792^2 + 189056^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 264678295 + ... + 264678505.

Almost surely, 2^55847142400 is an apocalyptic number.

55847142400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55847142400 is the 236320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55847142400

55847142400 is an abundant number, since it is smaller than the sum of its proper divisors (105954310517).

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

55847142400 is an equidigital number, since it uses as much as digits as its factorization.

55847142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 40.

The spelling of 55847142400 in words is "fifty-five billion, eight hundred forty-seven million, one hundred forty-two thousand, four hundred".