27200543040 has 896 divisors, whose sum is σ = 110605824000. Its totient is φ = 6231859200.

The previous prime is 27200543033. The next prime is 27200543047. The reversal of 27200543040 is 4034500272.

27200543040 is a `hidden beast` number, since 27 + 200 + 5 + 430 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27200543033) and next prime (27200543047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27200542995 and 27200543013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27200543047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 195687291 + ... + 195687429.

It is an arithmetic number, because the mean of its divisors is an integer number (123444000).

Almost surely, 2^27200543040 is an apocalyptic number.

27200543040 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 27200543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912000).

27200543040 is an abundant number, since it is smaller than the sum of its proper divisors (83405280960).

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

27200543040 is a wasteful number, since it uses less digits than its factorization.

27200543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 27200543040 in words is "twenty-seven billion, two hundred million, five hundred forty-three thousand, forty".