27935615652 has 192 divisors, whose sum is σ = 78343372800. Its totient is φ = 7580252160.

The previous prime is 27935615641. The next prime is 27935615681. The reversal of 27935615652 is 25651653972.

It is a junction number, because it is equal to n+sod(n) for n = 27935615595 and 27935615604.

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, 47108668 + ... + 47109260.

It is an arithmetic number, because the mean of its divisors is an integer number (408038400).

Almost surely, 2^27935615652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27935615652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171686400).

27935615652 is an abundant number, since it is smaller than the sum of its proper divisors (50407757148).

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

27935615652 is a wasteful number, since it uses less digits than its factorization.

27935615652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 51.

The spelling of 27935615652 in words is "twenty-seven billion, nine hundred thirty-five million, six hundred fifteen thousand, six hundred fifty-two".