27515196349440 has 528 divisors, whose sum is σ = 89956574289792. Its totient is φ = 7178080059392.

The previous prime is 27515196349439. The next prime is 27515196349447. The reversal of 27515196349440 is 4494369151572.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27515196349447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12137271187 + ... + 12137273453.

Almost surely, 2^{27515196349440} is an apocalyptic number.

27515196349440 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 27515196349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44978287144896).

27515196349440 is an abundant number, since it is smaller than the sum of its proper divisors (62441377940352).

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

27515196349440 is a wasteful number, since it uses less digits than its factorization.

27515196349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 27515196349440 in words is "twenty-seven trillion, five hundred fifteen billion, one hundred ninety-six million, three hundred forty-nine thousand, four hundred forty".