27930526506 has 96 divisors (see below), whose sum is σ = 63551195136. Its totient is φ = 8855028000.

The previous prime is 27930526469. The next prime is 27930526511. The reversal of 27930526506 is 60562503972.

27930526506 is a `hidden beast` number, since 2 + 7 + 93 + 0 + 52 + 6 + 506 = 666.

It is a super-2 number, since 2×27930526506² (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 47 ways as a sum of consecutive naturals, for example, 7819701 + ... + 7823271.

It is an arithmetic number, because the mean of its divisors is an integer number (661991616).

Almost surely, 2^27930526506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27930526506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31775597568).

27930526506 is an abundant number, since it is smaller than the sum of its proper divisors (35620668630).

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

27930526506 is a wasteful number, since it uses less digits than its factorization.

27930526506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 27930526506 in words is "twenty-seven billion, nine hundred thirty million, five hundred twenty-six thousand, five hundred six".