655504027027200 has 1296 divisors, whose sum is σ = 2657594558062080. Its totient is φ = 152810093445120.

The previous prime is 655504027027177. The next prime is 655504027027207. The reversal of 655504027027200 is 2720720405556.

655504027027200 is a `hidden beast` number, since 6 + 5 + 5 + 504 + 0 + 2 + 70 + 2 + 72 + 0 + 0 = 666.

It is a super-2 number, since 2×655504027027200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655504027027207) 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, 54959667637 + ... + 54959679563.

Almost surely, 2^{655504027027200} is an apocalyptic number.

655504027027200 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 655504027027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328797279031040).

655504027027200 is an abundant number, since it is smaller than the sum of its proper divisors (2002090531034880).

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

655504027027200 is a wasteful number, since it uses less digits than its factorization.

655504027027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15854 (or 15832 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 655504027027200 in words is "six hundred fifty-five trillion, five hundred four billion, twenty-seven million, twenty-seven thousand, two hundred".