55218225770400 has 1152 divisors, whose sum is σ = 239532340948992. Its totient is φ = 10707333120000.

The previous prime is 55218225770399. The next prime is 55218225770401. The reversal of 55218225770400 is 407752281255.

It is an interprime number because it is at equal distance from previous prime (55218225770399) and next prime (55218225770401).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55218225770400.

It is not an unprimeable number, because it can be changed into a prime (55218225770401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174107970 + ... + 174424830.

It is an arithmetic number, because the mean of its divisors is an integer number (207927379296).

Almost surely, 2^{55218225770400} is an apocalyptic number.

55218225770400 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 55218225770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119766170474496).

55218225770400 is an abundant number, since it is smaller than the sum of its proper divisors (184314115178592).

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

55218225770400 is a wasteful number, since it uses less digits than its factorization.

55218225770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316966 (or 316953 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 48.

The spelling of 55218225770400 in words is "fifty-five trillion, two hundred eighteen billion, two hundred twenty-five million, seven hundred seventy thousand, four hundred".