55066051123200 has 864 divisors, whose sum is σ = 212944115704320. Its totient is φ = 13518766080000.

The previous prime is 55066051123169. The next prime is 55066051123217. The reversal of 55066051123200 is 232115066055.

55066051123200 is a `hidden beast` number, since 5 + 5 + 0 + 6 + 605 + 1 + 1 + 23 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2294311200 + ... + 2294335200.

It is an arithmetic number, because the mean of its divisors is an integer number (246463096880).

Almost surely, 2^{55066051123200} is an apocalyptic number.

55066051123200 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 55066051123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106472057852160).

55066051123200 is an abundant number, since it is smaller than the sum of its proper divisors (157878064581120).

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

55066051123200 is a wasteful number, since it uses less digits than its factorization.

55066051123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24435 (or 24407 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 55066051123200 its reverse (232115066055), we get a palindrome (55298166189255).

The spelling of 55066051123200 in words is "fifty-five trillion, sixty-six billion, fifty-one million, one hundred twenty-three thousand, two hundred".