27782148240 has 240 divisors, whose sum is σ = 116324447616. Its totient is φ = 5772902400.

The previous prime is 27782148209. The next prime is 27782148257. The reversal of 27782148240 is 4284128772.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×27782148240⁴ (a number of 43 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195121 + ... + 306000.

Almost surely, 2^27782148240 is an apocalyptic number.

27782148240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27782148240 is an abundant number, since it is smaller than the sum of its proper divisors (88542299376).

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

27782148240 is a wasteful number, since it uses less digits than its factorization.

27782148240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501158 (or 501149 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 27782148240 in words is "twenty-seven billion, seven hundred eighty-two million, one hundred forty-eight thousand, two hundred forty".