27818897040 has 480 divisors, whose sum is σ = 106131957120. Its totient is φ = 6692336640.

The previous prime is 27818897017. The next prime is 27818897047. The reversal of 27818897040 is 4079881872.

It is a happy number.

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 (27818897047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42601354 + ... + 42602006.

It is an arithmetic number, because the mean of its divisors is an integer number (221108244).

Almost surely, 2^27818897040 is an apocalyptic number.

27818897040 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 27818897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53065978560).

27818897040 is an abundant number, since it is smaller than the sum of its proper divisors (78313060080).

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

27818897040 is a wasteful number, since it uses less digits than its factorization.

27818897040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 27818897040 in words is "twenty-seven billion, eight hundred eighteen million, eight hundred ninety-seven thousand, forty".