55129011660800 has 576 divisors, whose sum is σ = 172172469006720. Its totient is φ = 17005805568000.

The previous prime is 55129011660761. The next prime is 55129011660803. The reversal of 55129011660800 is 806611092155.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (55129011660803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382340720 + ... + 382484880.

It is an arithmetic number, because the mean of its divisors is an integer number (298910536470).

Almost surely, 2^{55129011660800} is an apocalyptic number.

55129011660800 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 55129011660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86086234503360).

55129011660800 is an abundant number, since it is smaller than the sum of its proper divisors (117043457345920).

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

55129011660800 is a wasteful number, since it uses less digits than its factorization.

55129011660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144308 (or 144283 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 44.

The spelling of 55129011660800 in words is "fifty-five trillion, one hundred twenty-nine billion, eleven million, six hundred sixty thousand, eight hundred".