27948211200 has 1584 divisors, whose sum is σ = 130089895936. Its totient is φ = 5573836800.

The previous prime is 27948211189. The next prime is 27948211201. The reversal of 27948211200 is 211284972.

It is a super-2 number, since 2×27948211200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27948211201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 649958379 + ... + 649958421.

Almost surely, 2^27948211200 is an apocalyptic number.

27948211200 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 27948211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65044947968).

27948211200 is an abundant number, since it is smaller than the sum of its proper divisors (102141684736).

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

27948211200 is a wasteful number, since it uses less digits than its factorization.

27948211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 27948211200 in words is "twenty-seven billion, nine hundred forty-eight million, two hundred eleven thousand, two hundred".