27801094500 has 576 divisors, whose sum is σ = 101066434560. Its totient is φ = 6386688000.

The previous prime is 27801094493. The next prime is 27801094537. The reversal of 27801094500 is 549010872.

27801094500 is a `hidden beast` number, since 27 + 80 + 109 + 450 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45058192 + ... + 45058808.

It is an arithmetic number, because the mean of its divisors is an integer number (175462560).

Almost surely, 2^27801094500 is an apocalyptic number.

27801094500 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 27801094500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50533217280).

27801094500 is an abundant number, since it is smaller than the sum of its proper divisors (73265340060).

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

27801094500 is a wasteful number, since it uses less digits than its factorization.

27801094500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 27801094500 in words is "twenty-seven billion, eight hundred one million, ninety-four thousand, five hundred".