27905194240 has 324 divisors, whose sum is σ = 85489026588. Its totient is φ = 8695357440.

The previous prime is 27905194237. The next prime is 27905194241. The reversal of 27905194240 is 4249150972.

It can be written as a sum of positive squares in 2 ways, for example, as 16416784384 + 11488409856 = 128128^2 + 107184^2 .

It is not an unprimeable number, because it can be changed into a prime (27905194241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7587282 + ... + 7590958.

Almost surely, 2^27905194240 is an apocalyptic number.

27905194240 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 27905194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42744513294).

27905194240 is an abundant number, since it is smaller than the sum of its proper divisors (57583832348).

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

27905194240 is a wasteful number, since it uses less digits than its factorization.

27905194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 27905194240 in words is "twenty-seven billion, nine hundred five million, one hundred ninety-four thousand, two hundred forty".