27193098240 has 720 divisors, whose sum is σ = 117772462080. Its totient is φ = 5638717440.

The previous prime is 27193098223. The next prime is 27193098241. The reversal of 27193098240 is 4289039172.

It is a tau number, because it is divible by the number of its divisors (720).

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 (27193098241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56770321 + ... + 56770799.

It is an arithmetic number, because the mean of its divisors is an integer number (163572864).

Almost surely, 2^27193098240 is an apocalyptic number.

27193098240 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 27193098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58886231040).

27193098240 is an abundant number, since it is smaller than the sum of its proper divisors (90579363840).

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

27193098240 is a wasteful number, since it uses less digits than its factorization.

27193098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 27193098240 in words is "twenty-seven billion, one hundred ninety-three million, ninety-eight thousand, two hundred forty".