27019481642496 has 3240 divisors, whose sum is σ = 107817874946496. Its totient is φ = 6481257431040.

The previous prime is 27019481642473. The next prime is 27019481642501. The reversal of 27019481642496 is 69424618491072.

27019481642496 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 9 + 4 + 81 + 64 + 2 + 496 = 666.

It is a super-2 number, since 2×27019481642496² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 730256260590 + ... + 730256260626.

Almost surely, 2^{27019481642496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27019481642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53908937473248).

27019481642496 is an abundant number, since it is smaller than the sum of its proper divisors (80798393304000).

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

27019481642496 is a wasteful number, since it uses less digits than its factorization.

27019481642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 27019481642496 in words is "twenty-seven trillion, nineteen billion, four hundred eighty-one million, six hundred forty-two thousand, four hundred ninety-six".