27447016220100 has 135 divisors (see below), whose sum is σ = 88973911792381. Its totient is φ = 7319078589600.

The previous prime is 27447016220027. The next prime is 27447016220101. The reversal of 27447016220100 is 102261074472.

The square root of 27447016220100 is 5238990.

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

27447016220100 is a `hidden beast` number, since 2 + 7 + 4 + 470 + 1 + 62 + 20 + 100 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9880925839236 + 17566090380864 = 3143394^2 + 4191192^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27447016220101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 471479995 + ... + 471538205.

Almost surely, 2^{27447016220100} is an apocalyptic number.

27447016220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27447016220100 is the 5238990-th square number.

It is an amenable number.

27447016220100 is an abundant number, since it is smaller than the sum of its proper divisors (61526895572281).

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

27447016220100 is an frugal number, since it uses more digits than its factorization.

27447016220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116448 (or 58221 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Multiplying 27447016220100 by its sum of digits (36), we get a square (988092583923600 = 31433940²).

27447016220100 divided by its sum of digits (36) gives a square (762417117225 = 873165²).

Adding to 27447016220100 its reverse (102261074472), we get a palindrome (27549277294572).

The spelling of 27447016220100 in words is "twenty-seven trillion, four hundred forty-seven billion, sixteen million, two hundred twenty thousand, one hundred".