27015205440 has 224 divisors, whose sum is σ = 88728109056. Its totient is φ = 6956881920.

The previous prime is 27015205433. The next prime is 27015205447. The reversal of 27015205440 is 4450251072.

It is an interprime number because it is at equal distance from previous prime (27015205433) and next prime (27015205447).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 27015205398 and 27015205407.

It is not an unprimeable number, because it can be changed into a prime (27015205447) 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, 24491929 + ... + 24493031.

Almost surely, 2^27015205440 is an apocalyptic number.

27015205440 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 27015205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44364054528).

27015205440 is an abundant number, since it is smaller than the sum of its proper divisors (61712903616).

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

27015205440 is a wasteful number, since it uses less digits than its factorization.

27015205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The spelling of 27015205440 in words is "twenty-seven billion, fifteen million, two hundred five thousand, four hundred forty".