27027017010400 has 288 divisors, whose sum is σ = 76307855984640. Its totient is φ = 9253916928000.

The previous prime is 27027017010397. The next prime is 27027017010419. The reversal of 27027017010400 is 401071072072.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8754781 + ... + 11432419.

It is an arithmetic number, because the mean of its divisors is an integer number (264957833280).

Almost surely, 2^{27027017010400} is an apocalyptic number.

27027017010400 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 27027017010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38153927992320).

27027017010400 is an abundant number, since it is smaller than the sum of its proper divisors (49280838974240).

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

27027017010400 is a wasteful number, since it uses less digits than its factorization.

27027017010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677738 (or 2677725 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 31.

Adding to 27027017010400 its reverse (401071072072), we get a palindrome (27428088082472).

The spelling of 27027017010400 in words is "twenty-seven trillion, twenty-seven billion, seventeen million, ten thousand, four hundred".