55835533681200 has 720 divisors, whose sum is σ = 241746717983680. Its totient is φ = 11619299819520.

The previous prime is 55835533681177. The next prime is 55835533681253. The reversal of 55835533681200 is 218633553855.

55835533681200 is a `hidden beast` number, since 5 + 5 + 8 + 3 + 5 + 533 + 6 + 81 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22747416 + ... + 25082184.

Almost surely, 2^{55835533681200} is an apocalyptic number.

55835533681200 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 55835533681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120873358991840).

55835533681200 is an abundant number, since it is smaller than the sum of its proper divisors (185911184302480).

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

55835533681200 is a wasteful number, since it uses less digits than its factorization.

55835533681200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334886 (or 2334872 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 55835533681200 in words is "fifty-five trillion, eight hundred thirty-five billion, five hundred thirty-three million, six hundred eighty-one thousand, two hundred".