553222208448000 has 6000 divisors, whose sum is σ = 2613086148362976. Its totient is φ = 116279989862400.

The previous prime is 553222208447989. The next prime is 553222208448017. The reversal of 553222208448000 is 844802222355.

553222208448000 is a `hidden beast` number, since 5 + 5 + 322 + 2 + 208 + 44 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6000).

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 599 ways as a sum of consecutive naturals, for example, 2103506495869 + ... + 2103506496131.

Almost surely, 2^{553222208448000} is an apocalyptic number.

553222208448000 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 553222208448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306543074181488).

553222208448000 is an abundant number, since it is smaller than the sum of its proper divisors (2059863939914976).

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

553222208448000 is an frugal number, since it uses more digits than its factorization.

553222208448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 553222208448000 in words is "five hundred fifty-three trillion, two hundred twenty-two billion, two hundred eight million, four hundred forty-eight thousand".