27687402602496 has 2280 divisors, whose sum is σ = 109348064955360. Its totient is φ = 6906206748672.

The previous prime is 27687402602479. The next prime is 27687402602507. The reversal of 27687402602496 is 69420620478672.

27687402602496 is a `hidden beast` number, since 2 + 7 + 6 + 87 + 4 + 0 + 2 + 60 + 2 + 496 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 311094411220 + ... + 311094411308.

It is an arithmetic number, because the mean of its divisors is an integer number (47959677612).

Almost surely, 2^{27687402602496} is an apocalyptic number.

27687402602496 is a gapful number since it is divisible by the number (26) 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 27687402602496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54674032477680).

27687402602496 is an abundant number, since it is smaller than the sum of its proper divisors (81660662352864).

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

27687402602496 is an frugal number, since it uses more digits than its factorization.

27687402602496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 27687402602496 in words is "twenty-seven trillion, six hundred eighty-seven billion, four hundred two million, six hundred two thousand, four hundred ninety-six".