550231750656000 has 6720 divisors, whose sum is σ = 2638868671595520. Its totient is φ = 111451255603200.

The previous prime is 550231750655953. The next prime is 550231750656031. The reversal of 550231750656000 is 656057132055.

550231750656000 is a `hidden beast` number, since 5 + 5 + 0 + 2 + 31 + 7 + 5 + 0 + 6 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 447 ways as a sum of consecutive naturals, for example, 3375654911919 + ... + 3375654912081.

It is an arithmetic number, because the mean of its divisors is an integer number (392688790416).

Almost surely, 2^{550231750656000} is an apocalyptic number.

550231750656000 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 550231750656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319434335797760).

550231750656000 is an abundant number, since it is smaller than the sum of its proper divisors (2088636920939520).

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

550231750656000 is an equidigital number, since it uses as much as digits as its factorization.

550231750656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 550231750656000 in words is "five hundred fifty trillion, two hundred thirty-one billion, seven hundred fifty million, six hundred fifty-six thousand".