27880041369600 has 3120 divisors, whose sum is σ = 125847310336000. Its totient is φ = 5959546306560.

The previous prime is 27880041369553. The next prime is 27880041369613. The reversal of 27880041369600 is 696314008872.

27880041369600 is a `hidden beast` number, since 27 + 8 + 8 + 0 + 0 + 4 + 1 + 3 + 6 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140100710301 + ... + 140100710499.

Almost surely, 2^{27880041369600} is an apocalyptic number.

27880041369600 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 27880041369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62923655168000).

27880041369600 is an abundant number, since it is smaller than the sum of its proper divisors (97967268966400).

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

27880041369600 is a wasteful number, since it uses less digits than its factorization.

27880041369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27880041369600 in words is "twenty-seven trillion, eight hundred eighty billion, forty-one million, three hundred sixty-nine thousand, six hundred".