2755367604900 has 81 divisors (see below), whose sum is σ = 8636702773153. Its totient is φ = 734751415200.

The previous prime is 2755367604889. The next prime is 2755367604919. The reversal of 2755367604900 is 94067635572.

The square root of 2755367604900 is 1659930.

It is a perfect power (a square), and thus also a powerful number.

2755367604900 is a `hidden beast` number, since 2 + 7 + 5 + 536 + 7 + 60 + 49 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 991932337764 + 1763435267136 = 995958^2 + 1327944^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49770235 + ... + 49825565.

Almost surely, 2^{2755367604900} is an apocalyptic number.

2755367604900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2755367604900 is the 1659930-th square number.

It is an amenable number.

2755367604900 is an abundant number, since it is smaller than the sum of its proper divisors (5881335168253).

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

2755367604900 is an frugal number, since it uses more digits than its factorization.

2755367604900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110682 (or 55341 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 2755367604900 in words is "two trillion, seven hundred fifty-five billion, three hundred sixty-seven million, six hundred four thousand, nine hundred".