27825778040 has 128 divisors (see below), whose sum is σ = 65101916160. Its totient is φ = 10697516544.

The previous prime is 27825778039. The next prime is 27825778067. The reversal of 27825778040 is 4087752872.

It is a self number, because there is not a number n which added to its sum of digits gives 27825778040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32242649 + ... + 32243511.

It is an arithmetic number, because the mean of its divisors is an integer number (508608720).

Almost surely, 2^27825778040 is an apocalyptic number.

27825778040 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 27825778040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550958080).

27825778040 is an abundant number, since it is smaller than the sum of its proper divisors (37276138120).

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

27825778040 is a wasteful number, since it uses less digits than its factorization.

27825778040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 50.

The spelling of 27825778040 in words is "twenty-seven billion, eight hundred twenty-five million, seven hundred seventy-eight thousand, forty".