55819835416800 has 1728 divisors, whose sum is σ = 257156707167360. Its totient is φ = 11056581181440.

The previous prime is 55819835416799. The next prime is 55819835416897. The reversal of 55819835416800 is 861453891855.

55819835416800 is a `hidden beast` number, since 5 + 5 + 8 + 1 + 9 + 8 + 3 + 541 + 6 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4555599474 + ... + 4555611726.

It is an arithmetic number, because the mean of its divisors is an integer number (148817538870).

Almost surely, 2^{55819835416800} is an apocalyptic number.

55819835416800 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 55819835416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128578353583680).

55819835416800 is an abundant number, since it is smaller than the sum of its proper divisors (201336871750560).

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

55819835416800 is a wasteful number, since it uses less digits than its factorization.

55819835416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12725 (or 12709 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 55819835416800 in words is "fifty-five trillion, eight hundred nineteen billion, eight hundred thirty-five million, four hundred sixteen thousand, eight hundred".