27055189071900 has 540 divisors, whose sum is σ = 96715058796664. Its totient is φ = 6537396729600.

The previous prime is 27055189071877. The next prime is 27055189071907. The reversal of 27055189071900 is 917098155072.

27055189071900 is a `hidden beast` number, since 2 + 7 + 0 + 551 + 89 + 0 + 7 + 1 + 9 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×27055189071900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27055189071907) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 300845742 + ... + 300935658.

Almost surely, 2^{27055189071900} is an apocalyptic number.

27055189071900 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 27055189071900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48357529398332).

27055189071900 is an abundant number, since it is smaller than the sum of its proper divisors (69659869724764).

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

27055189071900 is a wasteful number, since it uses less digits than its factorization.

27055189071900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90272 (or 90245 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 27055189071900 in words is "twenty-seven trillion, fifty-five billion, one hundred eighty-nine million, seventy-one thousand, nine hundred".