27530419203840 has 144 divisors (see below), whose sum is σ = 100486030192128. Its totient is φ = 6292667240448.

The previous prime is 27530419203827. The next prime is 27530419203913. The reversal of 27530419203840 is 4830291403572.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 27530419203840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 512071692 + ... + 512125451.

It is an arithmetic number, because the mean of its divisors is an integer number (697819654112).

Almost surely, 2^{27530419203840} is an apocalyptic number.

27530419203840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27530419203840 is an abundant number, since it is smaller than the sum of its proper divisors (72955610988288).

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

27530419203840 is a wasteful number, since it uses less digits than its factorization.

27530419203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024197174 (or 1024197160 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 27530419203840 in words is "twenty-seven trillion, five hundred thirty billion, four hundred nineteen million, two hundred three thousand, eight hundred forty".