27726200121690 has 72 divisors (see below), whose sum is σ = 83857609360980. Its totient is φ = 6337417169664.

The previous prime is 27726200121689. The next prime is 27726200121727. The reversal of 27726200121690 is 9612100262772.

27726200121690 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 620 + 0 + 1 + 2 + 16 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25894430063649 + 1831770058041 = 5088657^2 + 1353429^2 .

It is a super-2 number, since 2×27726200121690² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3143555695 + ... + 3143564514.

Almost surely, 2^{27726200121690} is an apocalyptic number.

27726200121690 is an abundant number, since it is smaller than the sum of its proper divisors (56131409239290).

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

27726200121690 is a wasteful number, since it uses less digits than its factorization.

27726200121690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287120236 (or 6287120226 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 27726200121690 in words is "twenty-seven trillion, seven hundred twenty-six billion, two hundred million, one hundred twenty-one thousand, six hundred ninety".