27771429420540 has 672 divisors, whose sum is σ = 97516242835200. Its totient is φ = 6593343805440.

The previous prime is 27771429420523. The next prime is 27771429420613. The reversal of 27771429420540 is 4502492417772.

27771429420540 is a `hidden beast` number, since 2 + 7 + 7 + 7 + 1 + 4 + 2 + 94 + 2 + 0 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6755393085 + ... + 6755397195.

It is an arithmetic number, because the mean of its divisors is an integer number (145113456600).

Almost surely, 2^{27771429420540} is an apocalyptic number.

27771429420540 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 27771429420540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48758121417600).

27771429420540 is an abundant number, since it is smaller than the sum of its proper divisors (69744813414660).

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

27771429420540 is a wasteful number, since it uses less digits than its factorization.

27771429420540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 27771429420540 in words is "twenty-seven trillion, seven hundred seventy-one billion, four hundred twenty-nine million, four hundred twenty thousand, five hundred forty".