27507077820 has 96 divisors (see below), whose sum is σ = 85601859840. Its totient is φ = 7333139520.

The previous prime is 27507077797. The next prime is 27507077827. The reversal of 27507077820 is 2877070572.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27507077827) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3284959 + ... + 3293321.

It is an arithmetic number, because the mean of its divisors is an integer number (891686040).

Almost surely, 2^27507077820 is an apocalyptic number.

27507077820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27507077820 is an abundant number, since it is smaller than the sum of its proper divisors (58094782020).

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

27507077820 is a wasteful number, since it uses less digits than its factorization.

27507077820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472 (or 14464 counting only the distinct ones).

The product of its (nonzero) digits is 384160, while the sum is 45.

The spelling of 27507077820 in words is "twenty-seven billion, five hundred seven million, seventy-seven thousand, eight hundred twenty".