27600350027040 has 1152 divisors, whose sum is σ = 114023226949632. Its totient is φ = 5946099425280.

The previous prime is 27600350027023. The next prime is 27600350027057. The reversal of 27600350027040 is 4072005300672.

It is a happy number.

27600350027040 is a `hidden beast` number, since 2 + 7 + 600 + 3 + 5 + 0 + 0 + 2 + 7 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (27600350027023) and next prime (27600350027057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27600350026986 and 27600350027004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5011863967 + ... + 5011869473.

It is an arithmetic number, because the mean of its divisors is an integer number (98978495616).

Almost surely, 2^{27600350027040} is an apocalyptic number.

27600350027040 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 27600350027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57011613474816).

27600350027040 is an abundant number, since it is smaller than the sum of its proper divisors (86422876922592).

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

27600350027040 is a wasteful number, since it uses less digits than its factorization.

27600350027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 27600350027040 in words is "twenty-seven trillion, six hundred billion, three hundred fifty million, twenty-seven thousand, forty".