27935139840 has 384 divisors, whose sum is σ = 95528160000. Its totient is φ = 6944718848.

The previous prime is 27935139797. The next prime is 27935139863. The reversal of 27935139840 is 4893153972.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77813581 + ... + 77813939.

It is an arithmetic number, because the mean of its divisors is an integer number (248771250).

Almost surely, 2^27935139840 is an apocalyptic number.

27935139840 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 27935139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080000).

27935139840 is an abundant number, since it is smaller than the sum of its proper divisors (67593020160).

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

27935139840 is a wasteful number, since it uses less digits than its factorization.

27935139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 27935139840 in words is "twenty-seven billion, nine hundred thirty-five million, one hundred thirty-nine thousand, eight hundred forty".