552242050032000 has 256 divisors, whose sum is σ = 1831094770452480. Its totient is φ = 147231374284800.

The previous prime is 552242050031999. The next prime is 552242050032011. The reversal of 552242050032000 is 230050242255.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212162427 + ... + 214749573.

It is an arithmetic number, because the mean of its divisors is an integer number (7152713947080).

Almost surely, 2^{552242050032000} is an apocalyptic number.

552242050032000 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 552242050032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915547385226240).

552242050032000 is an abundant number, since it is smaller than the sum of its proper divisors (1278852720420480).

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

552242050032000 is a wasteful number, since it uses less digits than its factorization.

552242050032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591626 (or 2591604 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 552242050032000 in words is "five hundred fifty-two trillion, two hundred forty-two billion, fifty million, thirty-two thousand".