27955089360 has 240 divisors, whose sum is σ = 106211327040. Its totient is φ = 6776939520.

The previous prime is 27955089347. The next prime is 27955089403. The reversal of 27955089360 is 6398055972.

27955089360 is a `hidden beast` number, since 2 + 7 + 9 + 550 + 89 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×27955089360² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 27955089297 and 27955089306.

It is a congruent number.

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, 148476 + ... + 279204.

It is an arithmetic number, because the mean of its divisors is an integer number (442547196).

Almost surely, 2^27955089360 is an apocalyptic number.

27955089360 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 27955089360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53105663520).

27955089360 is an abundant number, since it is smaller than the sum of its proper divisors (78256237680).

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

27955089360 is a wasteful number, since it uses less digits than its factorization.

27955089360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130768 (or 130750 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 27955089360 in words is "twenty-seven billion, nine hundred fifty-five million, eighty-nine thousand, three hundred sixty".