27125798400 has 1080 divisors, whose sum is σ = 112351547880. Its totient is φ = 6449725440.

The previous prime is 27125798389. The next prime is 27125798407. The reversal of 27125798400 is 489752172.

It is a happy number.

27125798400 is a `hidden beast` number, since 2 + 71 + 2 + 579 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27125798407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1427673591 + ... + 1427673609.

It is an arithmetic number, because the mean of its divisors is an integer number (104029211).

Almost surely, 2^27125798400 is an apocalyptic number.

27125798400 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 27125798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56175773940).

27125798400 is an abundant number, since it is smaller than the sum of its proper divisors (85225749480).

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

27125798400 is an frugal number, since it uses more digits than its factorization.

27125798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 27125798400 in words is "twenty-seven billion, one hundred twenty-five million, seven hundred ninety-eight thousand, four hundred".