27863802540 has 576 divisors, whose sum is σ = 103698137088. Its totient is φ = 5922201600.

The previous prime is 27863802511. The next prime is 27863802541. The reversal of 27863802540 is 4520836872.

27863802540 is a `hidden beast` number, since 2 + 7 + 8 + 638 + 0 + 2 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×27863802540² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (27863802541) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 203385352 + ... + 203385488.

It is an arithmetic number, because the mean of its divisors is an integer number (180031488).

Almost surely, 2^27863802540 is an apocalyptic number.

27863802540 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 27863802540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51849068544).

27863802540 is an abundant number, since it is smaller than the sum of its proper divisors (75834334548).

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

27863802540 is a wasteful number, since it uses less digits than its factorization.

27863802540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27863802540 in words is "twenty-seven billion, eight hundred sixty-three million, eight hundred two thousand, five hundred forty".