27552215340 has 288 divisors, whose sum is σ = 95822899200. Its totient is φ = 6562632960.

The previous prime is 27552215293. The next prime is 27552215347. The reversal of 27552215340 is 4351225572.

27552215340 is a `hidden beast` number, since 2 + 75 + 52 + 2 + 1 + 534 + 0 = 666.

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 = 27552215295 and 27552215304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27552215347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2824191 + ... + 2833929.

It is an arithmetic number, because the mean of its divisors is an integer number (332718400).

Almost surely, 2^27552215340 is an apocalyptic number.

27552215340 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 27552215340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47911449600).

27552215340 is an abundant number, since it is smaller than the sum of its proper divisors (68270683860).

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

27552215340 is a wasteful number, since it uses less digits than its factorization.

27552215340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9814 (or 9793 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 27552215340 in words is "twenty-seven billion, five hundred fifty-two million, two hundred fifteen thousand, three hundred forty".