27894326400 has 480 divisors, whose sum is σ = 107434641600. Its totient is φ = 7113553920.

The previous prime is 27894326399. The next prime is 27894326443. The reversal of 27894326400 is 462349872.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5959261 + ... + 5963939.

It is an arithmetic number, because the mean of its divisors is an integer number (223822170).

Almost surely, 2^27894326400 is an apocalyptic number.

27894326400 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 27894326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53717320800).

27894326400 is an abundant number, since it is smaller than the sum of its proper divisors (79540315200).

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

27894326400 is a wasteful number, since it uses less digits than its factorization.

27894326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 27894326400 in words is "twenty-seven billion, eight hundred ninety-four million, three hundred twenty-six thousand, four hundred".