550456135152000 has 4096 divisors, whose sum is σ = 2461013853143040. Its totient is φ = 105345515520000.

The previous prime is 550456135151987. The next prime is 550456135152097. The reversal of 550456135152000 is 251531654055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 727154735622 + ... + 727154736378.

It is an arithmetic number, because the mean of its divisors is an integer number (600833460240).

Almost surely, 2^{550456135152000} is an apocalyptic number.

550456135152000 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 550456135152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230506926571520).

550456135152000 is an abundant number, since it is smaller than the sum of its proper divisors (1910557717991040).

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

550456135152000 is a wasteful number, since it uses less digits than its factorization.

550456135152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 550456135152000 in words is "five hundred fifty trillion, four hundred fifty-six billion, one hundred thirty-five million, one hundred fifty-two thousand".