27001434000 has 320 divisors, whose sum is σ = 90474209280. Its totient is φ = 6920640000.

The previous prime is 27001433989. The next prime is 27001434013. The reversal of 27001434000 is 43410072.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33293595 + ... + 33294405.

It is an arithmetic number, because the mean of its divisors is an integer number (282731904).

Almost surely, 2^27001434000 is an apocalyptic number.

27001434000 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 27001434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45237104640).

27001434000 is an abundant number, since it is smaller than the sum of its proper divisors (63472775280).

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

27001434000 is a wasteful number, since it uses less digits than its factorization.

27001434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 27001434000 its reverse (43410072), we get a palindrome (27044844072).

The spelling of 27001434000 in words is "twenty-seven billion, one million, four hundred thirty-four thousand".