27786450240 has 168 divisors, whose sum is σ = 95684708808. Its totient is φ = 7401123840.

The previous prime is 27786450229. The next prime is 27786450271. The reversal of 27786450240 is 4205468772.

It is a happy number.

27786450240 is a `hidden beast` number, since 27 + 7 + 86 + 4 + 502 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 751198464 + 27035251776 = 27408^2 + 164424^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2704954 + ... + 2715206.

Almost surely, 2^27786450240 is an apocalyptic number.

27786450240 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 27786450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47842354404).

27786450240 is an abundant number, since it is smaller than the sum of its proper divisors (67898258568).

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

27786450240 is a wasteful number, since it uses less digits than its factorization.

27786450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11217 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 27786450240 in words is "twenty-seven billion, seven hundred eighty-six million, four hundred fifty thousand, two hundred forty".