27800735436 has 120 divisors (see below), whose sum is σ = 75121351536. Its totient is φ = 8958418560.

The previous prime is 27800735429. The next prime is 27800735447. The reversal of 27800735436 is 63453700872.

27800735436 is a `hidden beast` number, since 27 + 80 + 0 + 7 + 3 + 543 + 6 = 666.

It is a super-2 number, since 2×27800735436² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27800735391 and 27800735400.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1874731 + ... + 1889501.

Almost surely, 2^27800735436 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 27800735436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37560675768).

27800735436 is an abundant number, since it is smaller than the sum of its proper divisors (47320616100).

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

27800735436 is a wasteful number, since it uses less digits than its factorization.

27800735436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14981 (or 14970 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 27800735436 in words is "twenty-seven billion, eight hundred million, seven hundred thirty-five thousand, four hundred thirty-six".