27123395040 has 432 divisors, whose sum is σ = 107743735008. Its totient is φ = 6086670336.

The previous prime is 27123394993. The next prime is 27123395053. The reversal of 27123395040 is 4059332172.

27123395040 is a `hidden beast` number, since 27 + 123 + 3 + 9 + 504 + 0 = 666.

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 = 27123394986 and 27123395004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35088094 + ... + 35088866.

It is an arithmetic number, because the mean of its divisors is an integer number (249406794).

Almost surely, 2^27123395040 is an apocalyptic number.

27123395040 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 27123395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53871867504).

27123395040 is an abundant number, since it is smaller than the sum of its proper divisors (80620339968).

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

27123395040 is a wasteful number, since it uses less digits than its factorization.

27123395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 27123395040 in words is "twenty-seven billion, one hundred twenty-three million, three hundred ninety-five thousand, forty".