2055532723200 has 3696 divisors, whose sum is σ = 9588119178240. Its totient is φ = 429981696000.

The previous prime is 2055532723187. The next prime is 2055532723213. The reversal of 2055532723200 is 23272355502.

2055532723200 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 5 + 327 + 2 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2055532723187) and next prime (2055532723213).

It is a super-2 number, since 2×2055532723200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 66307507185 + ... + 66307507215.

Almost surely, 2^{2055532723200} is an apocalyptic number.

2055532723200 is a gapful number since it is divisible by the number (20) 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 2055532723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794059589120).

2055532723200 is an abundant number, since it is smaller than the sum of its proper divisors (7532586455040).

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

2055532723200 is a wasteful number, since it uses less digits than its factorization.

2055532723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The spelling of 2055532723200 in words is "two trillion, fifty-five billion, five hundred thirty-two million, seven hundred twenty-three thousand, two hundred".