27880385400 has 576 divisors, whose sum is σ = 113458363200. Its totient is φ = 5999616000.

The previous prime is 27880385389. The next prime is 27880385413. The reversal of 27880385400 is 458308872.

27880385400 is a `hidden beast` number, since 2 + 78 + 8 + 0 + 38 + 540 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14980470 + ... + 14982330.

It is an arithmetic number, because the mean of its divisors is an integer number (196976325).

Almost surely, 2^27880385400 is an apocalyptic number.

27880385400 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 27880385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56729181600).

27880385400 is an abundant number, since it is smaller than the sum of its proper divisors (85577977800).

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

27880385400 is a wasteful number, since it uses less digits than its factorization.

27880385400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 27880385400 in words is "twenty-seven billion, eight hundred eighty million, three hundred eighty-five thousand, four hundred".