27755052900 has 72 divisors (see below), whose sum is σ = 80624777184. Its totient is φ = 7371840000.

The previous prime is 27755052893. The next prime is 27755052901. The reversal of 27755052900 is 925055772.

It is a happy number.

It is a super-2 number, since 2×27755052900² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27755052901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108997 + ... + 259596.

It is an arithmetic number, because the mean of its divisors is an integer number (1119788572).

Almost surely, 2^27755052900 is an apocalyptic number.

27755052900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27755052900 is an abundant number, since it is smaller than the sum of its proper divisors (52869724284).

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

27755052900 is a wasteful number, since it uses less digits than its factorization.

27755052900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368861 (or 368854 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 27755052900 in words is "twenty-seven billion, seven hundred fifty-five million, fifty-two thousand, nine hundred".