27801317615680 has 672 divisors, whose sum is σ = 80864810673408. Its totient is φ = 8912823828480.

The previous prime is 27801317615677. The next prime is 27801317615681. The reversal of 27801317615680 is 8651671310872.

It is a super-2 number, since 2×27801317615680² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27801317615681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7644022822 + ... + 7644026458.

Almost surely, 2^{27801317615680} is an apocalyptic number.

27801317615680 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 27801317615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40432405336704).

27801317615680 is an abundant number, since it is smaller than the sum of its proper divisors (53063493057728).

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

27801317615680 is a wasteful number, since it uses less digits than its factorization.

27801317615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 27801317615680 in words is "twenty-seven trillion, eight hundred one billion, three hundred seventeen million, six hundred fifteen thousand, six hundred eighty".