55012298342400 has 720 divisors, whose sum is σ = 230986714654080. Its totient is φ = 12574221926400.

The previous prime is 55012298342381. The next prime is 55012298342459. The reversal of 55012298342400 is 424389221055.

55012298342400 is a `hidden beast` number, since 5 + 5 + 0 + 12 + 298 + 342 + 4 + 0 + 0 = 666.

55012298342400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77059090 + ... + 77769710.

It is an arithmetic number, because the mean of its divisors is an integer number (320814881464).

Almost surely, 2^{55012298342400} is an apocalyptic number.

55012298342400 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 55012298342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115493357327040).

55012298342400 is an abundant number, since it is smaller than the sum of its proper divisors (175974416311680).

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

55012298342400 is an equidigital number, since it uses as much as digits as its factorization.

55012298342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710675 (or 710638 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55012298342400 in words is "fifty-five trillion, twelve billion, two hundred ninety-eight million, three hundred forty-two thousand, four hundred".