655838164800 has 2016 divisors, whose sum is σ = 3040502895360. Its totient is φ = 134568345600.

The previous prime is 655838164771. The next prime is 655838164811. The reversal of 655838164800 is 8461838556.

655838164800 is a `hidden beast` number, since 6 + 5 + 5 + 83 + 81 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2095329444 + ... + 2095329756.

It is an arithmetic number, because the mean of its divisors is an integer number (1508185960).

Almost surely, 2^655838164800 is an apocalyptic number.

655838164800 is a gapful number since it is divisible by the number (60) 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 655838164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520251447680).

655838164800 is an abundant number, since it is smaller than the sum of its proper divisors (2384664730560).

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

655838164800 is a wasteful number, since it uses less digits than its factorization.

655838164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 655838164800 in words is "six hundred fifty-five billion, eight hundred thirty-eight million, one hundred sixty-four thousand, eight hundred".