27113711040 has 672 divisors, whose sum is σ = 107094528000. Its totient is φ = 6448066560.

The previous prime is 27113711033. The next prime is 27113711057. The reversal of 27113711040 is 4011731172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27113710995 and 27113711013.

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 95 ways as a sum of consecutive naturals, for example, 45264661 + ... + 45265259.

Almost surely, 2^27113711040 is an apocalyptic number.

27113711040 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 27113711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53547264000).

27113711040 is an abundant number, since it is smaller than the sum of its proper divisors (79980816960).

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

27113711040 is a wasteful number, since it uses less digits than its factorization.

27113711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 27113711040 in words is "twenty-seven billion, one hundred thirteen million, seven hundred eleven thousand, forty".