55300226558400 has 672 divisors, whose sum is σ = 206953846248960. Its totient is φ = 14538961382400.

The previous prime is 55300226558393. The next prime is 55300226558417. The reversal of 55300226558400 is 485562200355.

55300226558400 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 0 + 2 + 2 + 65 + 584 + 0 + 0 = 666.

It is a super-2 number, since 2×55300226558400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 248331907 + ... + 248554493.

Almost surely, 2^{55300226558400} is an apocalyptic number.

55300226558400 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 55300226558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103476923124480).

55300226558400 is an abundant number, since it is smaller than the sum of its proper divisors (151653619690560).

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

55300226558400 is an equidigital number, since it uses as much as digits as its factorization.

55300226558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222701 (or 222668 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 55300226558400 its reverse (485562200355), we get a palindrome (55785788758755).

The spelling of 55300226558400 in words is "fifty-five trillion, three hundred billion, two hundred twenty-six million, five hundred fifty-eight thousand, four hundred".