27603850140 has 96 divisors (see below), whose sum is σ = 86083341120. Its totient is φ = 7343481600.

The previous prime is 27603850097. The next prime is 27603850189. The reversal of 27603850140 is 4105830672.

27603850140 is a `hidden beast` number, since 2 + 7 + 603 + 8 + 5 + 0 + 1 + 40 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 27603850095 and 27603850104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166630 + ... + 288050.

It is an arithmetic number, because the mean of its divisors is an integer number (896701470).

Almost surely, 2^27603850140 is an apocalyptic number.

27603850140 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 27603850140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43041670560).

27603850140 is an abundant number, since it is smaller than the sum of its proper divisors (58479490980).

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

27603850140 is a wasteful number, since it uses less digits than its factorization.

27603850140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121860 (or 121852 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27603850140 in words is "twenty-seven billion, six hundred three million, eight hundred fifty thousand, one hundred forty".