27193987440 has 400 divisors, whose sum is σ = 104362302528. Its totient is φ = 6527803392.

The previous prime is 27193987439. The next prime is 27193987441. The reversal of 27193987440 is 4478939172.

27193987440 is a `hidden beast` number, since 2 + 7 + 193 + 9 + 8 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (27193987439) and next prime (27193987441).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27193987441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2528314 + ... + 2539046.

Almost surely, 2^27193987440 is an apocalyptic number.

27193987440 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 27193987440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52181151264).

27193987440 is an abundant number, since it is smaller than the sum of its proper divisors (77168315088).

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

27193987440 is a wasteful number, since it uses less digits than its factorization.

27193987440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10783 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 27193987440 in words is "twenty-seven billion, one hundred ninety-three million, nine hundred eighty-seven thousand, four hundred forty".