27802897408 has 176 divisors, whose sum is σ = 65718525600. Its totient is φ = 11590041600.

The previous prime is 27802897403. The next prime is 27802897471. The reversal of 27802897408 is 80479820872.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×27802897408² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27802897403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26503668 + ... + 26504716.

Almost surely, 2^27802897408 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 27802897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32859262800).

27802897408 is an abundant number, since it is smaller than the sum of its proper divisors (37915628192).

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

27802897408 is a wasteful number, since it uses less digits than its factorization.

27802897408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 55.

The spelling of 27802897408 in words is "twenty-seven billion, eight hundred two million, eight hundred ninety-seven thousand, four hundred eight".