27615420000 has 1080 divisors, whose sum is σ = 119003556672. Its totient is φ = 6048000000.

The previous prime is 27615419999. The next prime is 27615420017. The reversal of 27615420000 is 2451672.

27615420000 is a `hidden beast` number, since 2 + 7 + 615 + 42 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×27615420000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 273419950 + ... + 273420050.

Almost surely, 2^27615420000 is an apocalyptic number.

27615420000 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 27615420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59501778336).

27615420000 is an abundant number, since it is smaller than the sum of its proper divisors (91388136672).

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

27615420000 is a wasteful number, since it uses less digits than its factorization.

27615420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 27615420000 its reverse (2451672), we get a palindrome (27617871672).

The spelling of 27615420000 in words is "twenty-seven billion, six hundred fifteen million, four hundred twenty thousand".