27869019840 has 448 divisors, whose sum is σ = 103068241920. Its totient is φ = 7080099840.

The previous prime is 27869019833. The next prime is 27869019847. The reversal of 27869019840 is 4891096872.

It is an interprime number because it is at equal distance from previous prime (27869019833) and next prime (27869019847).

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

It is not an unprimeable number, because it can be changed into a prime (27869019847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17944504 + ... + 17946056.

It is an arithmetic number, because the mean of its divisors is an integer number (230063040).

Almost surely, 2^27869019840 is an apocalyptic number.

27869019840 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 27869019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51534120960).

27869019840 is an abundant number, since it is smaller than the sum of its proper divisors (75199222080).

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

27869019840 is a wasteful number, since it uses less digits than its factorization.

27869019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 27869019840 in words is "twenty-seven billion, eight hundred sixty-nine million, nineteen thousand, eight hundred forty".