27213054400 has 168 divisors, whose sum is σ = 76626492416. Its totient is φ = 9318067200.

The previous prime is 27213054389. The next prime is 27213054439. The reversal of 27213054400 is 445031272.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14861485 + ... + 14863315.

Almost surely, 2^27213054400 is an apocalyptic number.

27213054400 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 27213054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38313246208).

27213054400 is an abundant number, since it is smaller than the sum of its proper divisors (49413438016).

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

27213054400 is a wasteful number, since it uses less digits than its factorization.

27213054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 27213054400 its reverse (445031272), we get a palindrome (27658085672).

The spelling of 27213054400 in words is "twenty-seven billion, two hundred thirteen million, fifty-four thousand, four hundred".