27718631394048 has 432 divisors, whose sum is σ = 94650385729536. Its totient is φ = 7634280775680.

The previous prime is 27718631394023. The next prime is 27718631394059. The reversal of 27718631394048 is 84049313681772.

27718631394048 is a `hidden beast` number, since 27 + 7 + 18 + 63 + 139 + 404 + 8 = 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 47 ways as a sum of consecutive naturals, for example, 128383915 + ... + 128599637.

Almost surely, 2^{27718631394048} is an apocalyptic number.

27718631394048 is a gapful number since it is divisible by the number (28) 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 27718631394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47325192864768).

27718631394048 is an abundant number, since it is smaller than the sum of its proper divisors (66931754335488).

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

27718631394048 is a wasteful number, since it uses less digits than its factorization.

27718631394048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216040 (or 216023 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 27718631394048 in words is "twenty-seven trillion, seven hundred eighteen billion, six hundred thirty-one million, three hundred ninety-four thousand, forty-eight".