27105490944 has 384 divisors, whose sum is σ = 92461824000. Its totient is φ = 7685701632.

The previous prime is 27105490933. The next prime is 27105490949. The reversal of 27105490944 is 44909450172.

27105490944 is a `hidden beast` number, since 2 + 7 + 10 + 549 + 0 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×27105490944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27105490944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27105490949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92510062 + ... + 92510354.

It is an arithmetic number, because the mean of its divisors is an integer number (240786000).

Almost surely, 2^27105490944 is an apocalyptic number.

27105490944 is a gapful number since it is divisible by the number (24) 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 27105490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912000).

27105490944 is an abundant number, since it is smaller than the sum of its proper divisors (65356333056).

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

27105490944 is a wasteful number, since it uses less digits than its factorization.

27105490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 27105490944 in words is "twenty-seven billion, one hundred five million, four hundred ninety thousand, nine hundred forty-four".