27638114172480 has 1792 divisors, whose sum is σ = 117443206840320. Its totient is φ = 6061129482240.

The previous prime is 27638114172469. The next prime is 27638114172491. The reversal of 27638114172480 is 8427141183672.

27638114172480 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 81 + 14 + 1 + 72 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (27638114172469) and next prime (27638114172491).

It is a super-3 number, since 3×27638114172480³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19286889844 + ... + 19286891276.

Almost surely, 2^{27638114172480} is an apocalyptic number.

27638114172480 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 27638114172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58721603420160).

27638114172480 is an abundant number, since it is smaller than the sum of its proper divisors (89805092667840).

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

27638114172480 is a wasteful number, since it uses less digits than its factorization.

27638114172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 27638114172480 in words is "twenty-seven trillion, six hundred thirty-eight billion, one hundred fourteen million, one hundred seventy-two thousand, four hundred eighty".