27716717700 has 270 divisors, whose sum is σ = 104516986266. Its totient is φ = 6335159040.

The previous prime is 27716717653. The next prime is 27716717711. The reversal of 27716717700 is 771761772.

It can be written as a sum of positive squares in 3 ways, for example, as 12446784 + 27704270916 = 3528^2 + 166446^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×27716717700² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 361984 + ... + 431816.

Almost surely, 2^27716717700 is an apocalyptic number.

27716717700 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 27716717700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52258493133).

27716717700 is an abundant number, since it is smaller than the sum of its proper divisors (76800268566).

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

27716717700 is a wasteful number, since it uses less digits than its factorization.

27716717700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69873 (or 69850 counting only the distinct ones).

The product of its (nonzero) digits is 201684, while the sum is 45.

The spelling of 27716717700 in words is "twenty-seven billion, seven hundred sixteen million, seven hundred seventeen thousand, seven hundred".