27319098240 has 768 divisors, whose sum is σ = 114108134400. Its totient is φ = 5887918080.

The previous prime is 27319098211. The next prime is 27319098253. The reversal of 27319098240 is 4289091372.

27319098240 is a `hidden beast` number, since 2 + 7 + 319 + 0 + 98 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82534875 + ... + 82535205.

It is an arithmetic number, because the mean of its divisors is an integer number (148578300).

Almost surely, 2^27319098240 is an apocalyptic number.

27319098240 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 27319098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57054067200).

27319098240 is an abundant number, since it is smaller than the sum of its proper divisors (86789036160).

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

27319098240 is a wasteful number, since it uses less digits than its factorization.

27319098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

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

The spelling of 27319098240 in words is "twenty-seven billion, three hundred nineteen million, ninety-eight thousand, two hundred forty".