27953142000 has 640 divisors, whose sum is σ = 113204183040. Its totient is φ = 5786035200.

The previous prime is 27953141987. The next prime is 27953142013. The reversal of 27953142000 is 24135972.

It is an interprime number because it is at equal distance from previous prime (27953141987) and next prime (27953142013).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18353239 + ... + 18354761.

It is an arithmetic number, because the mean of its divisors is an integer number (176881536).

Almost surely, 2^27953142000 is an apocalyptic number.

27953142000 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 27953142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56602091520).

27953142000 is an abundant number, since it is smaller than the sum of its proper divisors (85251041040).

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

27953142000 is a wasteful number, since it uses less digits than its factorization.

27953142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 27953142000 its reverse (24135972), we get a palindrome (27977277972).

The spelling of 27953142000 in words is "twenty-seven billion, nine hundred fifty-three million, one hundred forty-two thousand".