55206150193152 has 840 divisors, whose sum is σ = 195718156048800. Its totient is φ = 15228613951488.

The previous prime is 55206150193133. The next prime is 55206150193193. The reversal of 55206150193152 is 25139105160255.

55206150193152 is a `hidden beast` number, since 5 + 5 + 2 + 0 + 6 + 1 + 501 + 93 + 1 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55206150193098 and 55206150193107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2424607624 + ... + 2424630392.

It is an arithmetic number, because the mean of its divisors is an integer number (232997804820).

Almost surely, 2^{55206150193152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55206150193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97859078024400).

55206150193152 is an abundant number, since it is smaller than the sum of its proper divisors (140512005855648).

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

55206150193152 is an frugal number, since it uses more digits than its factorization.

55206150193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22851 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 55206150193152 in words is "fifty-five trillion, two hundred six billion, one hundred fifty million, one hundred ninety-three thousand, one hundred fifty-two".