27725798400 has 132 divisors (see below), whose sum is σ = 91635461592. Its totient is φ = 7393525760.

The previous prime is 27725798291. The next prime is 27725798417. The reversal of 27725798400 is 489752772.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 103707 + ... + 257306.

Almost surely, 2^27725798400 is an apocalyptic number.

27725798400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27725798400 is an abundant number, since it is smaller than the sum of its proper divisors (63909663192).

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

27725798400 is a wasteful number, since it uses less digits than its factorization.

27725798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361046 (or 361023 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 27725798400 in words is "twenty-seven billion, seven hundred twenty-five million, seven hundred ninety-eight thousand, four hundred".