27875946690 has 224 divisors, whose sum is σ = 81524019456. Its totient is φ = 6832304640.

The previous prime is 27875946671. The next prime is 27875946739. The reversal of 27875946690 is 9664957872.

27875946690 is a `hidden beast` number, since 2 + 7 + 87 + 5 + 9 + 466 + 90 = 666.

It is a super-2 number, since 2×27875946690² (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 111 ways as a sum of consecutive naturals, for example, 5326375 + ... + 5331605.

Almost surely, 2^27875946690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27875946690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40762009728).

27875946690 is an abundant number, since it is smaller than the sum of its proper divisors (53648072766).

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

27875946690 is a wasteful number, since it uses less digits than its factorization.

27875946690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5301 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 27875946690 in words is "twenty-seven billion, eight hundred seventy-five million, nine hundred forty-six thousand, six hundred ninety".