55905538255800 has 384 divisors, whose sum is σ = 179913850133760. Its totient is φ = 14349029990400.

The previous prime is 55905538255759. The next prime is 55905538255811. The reversal of 55905538255800 is 855283550955.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1311976495 + ... + 1312019105.

It is an arithmetic number, because the mean of its divisors is an integer number (468525651390).

Almost surely, 2^{55905538255800} is an apocalyptic number.

55905538255800 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 55905538255800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89956925066880).

55905538255800 is an abundant number, since it is smaller than the sum of its proper divisors (124008311877960).

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

55905538255800 is a wasteful number, since it uses less digits than its factorization.

55905538255800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43303 (or 43294 counting only the distinct ones).

The product of its (nonzero) digits is 54000000, while the sum is 60.

The spelling of 55905538255800 in words is "fifty-five trillion, nine hundred five billion, five hundred thirty-eight million, two hundred fifty-five thousand, eight hundred".