55001210444400 has 960 divisors, whose sum is σ = 205820449505280. Its totient is φ = 12426869145600.

The previous prime is 55001210444381. The next prime is 55001210444461. The reversal of 55001210444400 is 444401210055.

55001210444400 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1798761912 + ... + 1798792488.

It is an arithmetic number, because the mean of its divisors is an integer number (214396301568).

Almost surely, 2^{55001210444400} is an apocalyptic number.

55001210444400 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 55001210444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910224752640).

55001210444400 is an abundant number, since it is smaller than the sum of its proper divisors (150819239060880).

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

55001210444400 is a wasteful number, since it uses less digits than its factorization.

55001210444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30802 (or 30791 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 55001210444400 its reverse (444401210055), we get a palindrome (55445611654455).

The spelling of 55001210444400 in words is "fifty-five trillion, one billion, two hundred ten million, four hundred forty-four thousand, four hundred".