27270954144 has 288 divisors, whose sum is σ = 93732912000. Its totient is φ = 7347013632.

The previous prime is 27270954133. The next prime is 27270954173. The reversal of 27270954144 is 44145907272.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 27270954144.

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, 8770062 + ... + 8773170.

It is an arithmetic number, because the mean of its divisors is an integer number (325461500).

Almost surely, 2^27270954144 is an apocalyptic number.

27270954144 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 27270954144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46866456000).

27270954144 is an abundant number, since it is smaller than the sum of its proper divisors (66461957856).

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

27270954144 is a wasteful number, since it uses less digits than its factorization.

27270954144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27270954144 in words is "twenty-seven billion, two hundred seventy million, nine hundred fifty-four thousand, one hundred forty-four".