27730419174912 has 320 divisors, whose sum is σ = 84253000677120. Its totient is φ = 8050181013504.

The previous prime is 27730419174901. The next prime is 27730419174937. The reversal of 27730419174912 is 21947191403772.

It is a super-2 number, since 2×27730419174912² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20683578 + ... + 21983430.

It is an arithmetic number, because the mean of its divisors is an integer number (263290627116).

Almost surely, 2^{27730419174912} 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 27730419174912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42126500338560).

27730419174912 is an abundant number, since it is smaller than the sum of its proper divisors (56522581502208).

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

27730419174912 is a wasteful number, since it uses less digits than its factorization.

27730419174912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299953 (or 1299937 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 27730419174912 in words is "twenty-seven trillion, seven hundred thirty billion, four hundred nineteen million, one hundred seventy-four thousand, nine hundred twelve".