55582087017600 has 1152 divisors, whose sum is σ = 233282337724800. Its totient is φ = 12423020544000.

The previous prime is 55582087017577. The next prime is 55582087017601. The reversal of 55582087017600 is 671078028555.

55582087017600 is a `hidden beast` number, since 5 + 5 + 5 + 8 + 20 + 8 + 7 + 0 + 1 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (55582087017601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3628302741 + ... + 3628318059.

It is an arithmetic number, because the mean of its divisors is an integer number (202502029275).

Almost surely, 2^{55582087017600} is an apocalyptic number.

55582087017600 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 55582087017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116641168862400).

55582087017600 is an abundant number, since it is smaller than the sum of its proper divisors (177700250707200).

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

55582087017600 is a wasteful number, since it uses less digits than its factorization.

55582087017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16254 (or 16234 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 55582087017600 in words is "fifty-five trillion, five hundred eighty-two billion, eighty-seven million, seventeen thousand, six hundred".