27305902080 has 408 divisors, whose sum is σ = 97164505152. Its totient is φ = 7090470912.

The previous prime is 27305902009. The next prime is 27305902103. The reversal of 27305902080 is 8020950372.

It is a happy number.

It is a super-2 number, since 2×27305902080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138608542 + ... + 138608738.

Almost surely, 2^27305902080 is an apocalyptic number.

27305902080 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 27305902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48582252576).

27305902080 is an abundant number, since it is smaller than the sum of its proper divisors (69858603072).

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

27305902080 is an equidigital number, since it uses as much as digits as its factorization.

27305902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 27305902080 in words is "twenty-seven billion, three hundred five million, nine hundred two thousand, eighty".