27802249650 has 864 divisors, whose sum is σ = 99195026112. Its totient is φ = 5748019200.

The previous prime is 27802249639. The next prime is 27802249723. The reversal of 27802249650 is 5694220872.

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

It is a junction number, because it is equal to n+sod(n) for n = 27802249596 and 27802249605.

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 431 ways as a sum of consecutive naturals, for example, 414958917 + ... + 414958983.

It is an arithmetic number, because the mean of its divisors is an integer number (114809058).

Almost surely, 2^27802249650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27802249650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49597513056).

27802249650 is an abundant number, since it is smaller than the sum of its proper divisors (71392776462).

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

27802249650 is a wasteful number, since it uses less digits than its factorization.

27802249650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27802249650 in words is "twenty-seven billion, eight hundred two million, two hundred forty-nine thousand, six hundred fifty".