2755864238400 has 2016 divisors, whose sum is σ = 12546796953600. Its totient is φ = 558080409600.

The previous prime is 2755864238399. The next prime is 2755864238401. The reversal of 2755864238400 is 48324685572.

2755864238400 is a `hidden beast` number, since 2 + 7 + 558 + 6 + 4 + 2 + 3 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2755864238399) and next prime (2755864238401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755864238401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7271409411 + ... + 7271409789.

It is an arithmetic number, because the mean of its divisors is an integer number (6223609600).

Almost surely, 2^{2755864238400} is an apocalyptic number.

2755864238400 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 2755864238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273398476800).

2755864238400 is an abundant number, since it is smaller than the sum of its proper divisors (9790932715200).

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

2755864238400 is a wasteful number, since it uses less digits than its factorization.

2755864238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 2755864238400 in words is "two trillion, seven hundred fifty-five billion, eight hundred sixty-four million, two hundred thirty-eight thousand, four hundred".