27075003400 has 96 divisors (see below), whose sum is σ = 63634264200. Its totient is φ = 10712576000.

The previous prime is 27075003379. The next prime is 27075003419. The reversal of 27075003400 is 430057072.

It can be written as a sum of positive squares in 12 ways, for example, as 45670564 + 27029332836 = 6758^2 + 164406^2 .

It is a super-2 number, since 2×27075003400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15841746 + ... + 15843454.

Almost surely, 2^27075003400 is an apocalyptic number.

27075003400 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 27075003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31817132100).

27075003400 is an abundant number, since it is smaller than the sum of its proper divisors (36559260800).

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

27075003400 is a wasteful number, since it uses less digits than its factorization.

27075003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The spelling of 27075003400 in words is "twenty-seven billion, seventy-five million, three thousand, four hundred".