27854940960 has 960 divisors, whose sum is σ = 124208308224. Its totient is φ = 5710694400.

The previous prime is 27854940877. The next prime is 27854940977. The reversal of 27854940960 is 6904945872.

27854940960 is a `hidden beast` number, since 2 + 7 + 8 + 549 + 4 + 0 + 96 + 0 = 666.

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 = 27854940897 and 27854940906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 102785625 + ... + 102785895.

Almost surely, 2^27854940960 is an apocalyptic number.

27854940960 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 27854940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62104154112).

27854940960 is an abundant number, since it is smaller than the sum of its proper divisors (96353367264).

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

27854940960 is a wasteful number, since it uses less digits than its factorization.

27854940960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 27854940960 in words is "twenty-seven billion, eight hundred fifty-four million, nine hundred forty thousand, nine hundred sixty".