27531410940 has 144 divisors (see below), whose sum is σ = 91216341216. Its totient is φ = 6666048000.

The previous prime is 27531410891. The next prime is 27531410957. The reversal of 27531410940 is 4901413572.

27531410940 is a `hidden beast` number, since 27 + 531 + 4 + 10 + 94 + 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 = 27531410895 and 27531410904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1680790 + ... + 1697090.

It is an arithmetic number, because the mean of its divisors is an integer number (633446814).

Almost surely, 2^27531410940 is an apocalyptic number.

27531410940 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 27531410940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45608170608).

27531410940 is an abundant number, since it is smaller than the sum of its proper divisors (63684930276).

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

27531410940 is a wasteful number, since it uses less digits than its factorization.

27531410940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17180 (or 17175 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 27531410940 in words is "twenty-seven billion, five hundred thirty-one million, four hundred ten thousand, nine hundred forty".