27985716810 has 32 divisors (see below), whose sum is σ = 74628578880. Its totient is φ = 7462857744.

The previous prime is 27985716799. The next prime is 27985716821. The reversal of 27985716810 is 1861758972.

27985716810 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 571 + 68 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27985716799) and next prime (27985716821).

It is a super-2 number, since 2×27985716810² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51825132 + ... + 51825671.

It is an arithmetic number, because the mean of its divisors is an integer number (2332143090).

Almost surely, 2^27985716810 is an apocalyptic number.

27985716810 is an abundant number, since it is smaller than the sum of its proper divisors (46642862070).

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

27985716810 is a wasteful number, since it uses less digits than its factorization.

27985716810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103650819 (or 103650813 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 27985716810 in words is "twenty-seven billion, nine hundred eighty-five million, seven hundred sixteen thousand, eight hundred ten".