27405163800 has 288 divisors, whose sum is σ = 105354194400. Its totient is φ = 6253885440.

The previous prime is 27405163787. The next prime is 27405163847. The reversal of 27405163800 is 836150472.

27405163800 is a `hidden beast` number, since 27 + 40 + 516 + 3 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10040836 + ... + 10043564.

It is an arithmetic number, because the mean of its divisors is an integer number (365813175).

Almost surely, 2^27405163800 is an apocalyptic number.

27405163800 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 27405163800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52677097200).

27405163800 is an abundant number, since it is smaller than the sum of its proper divisors (77949030600).

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

27405163800 is a wasteful number, since it uses less digits than its factorization.

27405163800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27405163800 in words is "twenty-seven billion, four hundred five million, one hundred sixty-three thousand, eight hundred".