27212783040 has 336 divisors, whose sum is σ = 98592436800. Its totient is φ = 6875725824.

The previous prime is 27212783011. The next prime is 27212783069. The reversal of 27212783040 is 4038721272.

27212783040 is a `hidden beast` number, since 272 + 12 + 78 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27212783011) and next prime (27212783069).

It is a super-2 number, since 2×27212783040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27212782986 and 27212783004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7218276 + ... + 7222044.

Almost surely, 2^27212783040 is an apocalyptic number.

27212783040 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 27212783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49296218400).

27212783040 is an abundant number, since it is smaller than the sum of its proper divisors (71379653760).

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

27212783040 is a wasteful number, since it uses less digits than its factorization.

27212783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 27212783040 in words is "twenty-seven billion, two hundred twelve million, seven hundred eighty-three thousand, forty".