27661445401590 has 864 divisors, whose sum is σ = 99224201119680. Its totient is φ = 5295426554880.

The previous prime is 27661445401537. The next prime is 27661445401591. The reversal of 27661445401590 is 9510454416672.

27661445401590 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 1 + 4 + 4 + 5 + 40 + 1 + 590 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27661445401591) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3863866431 + ... + 3863873589.

It is an arithmetic number, because the mean of its divisors is an integer number (114842825370).

Almost surely, 2^{27661445401590} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27661445401590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49612100559840).

27661445401590 is an abundant number, since it is smaller than the sum of its proper divisors (71562755718090).

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

27661445401590 is a wasteful number, since it uses less digits than its factorization.

27661445401590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7778 (or 7757 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 27661445401590 in words is "twenty-seven trillion, six hundred sixty-one billion, four hundred forty-five million, four hundred one thousand, five hundred ninety".