21077227144064 has 192 divisors, whose sum is σ = 52610724603360. Its totient is φ = 8336954658816.

The previous prime is 21077227144063. The next prime is 21077227144069. The reversal of 21077227144064 is 46044172277012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21077227144063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661811789 + ... + 661843635.

Almost surely, 2^{21077227144064} 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 21077227144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26305362301680).

21077227144064 is an abundant number, since it is smaller than the sum of its proper divisors (31533497459296).

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

21077227144064 is a wasteful number, since it uses less digits than its factorization.

21077227144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40005 (or 39986 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 47.

The spelling of 21077227144064 in words is "twenty-one trillion, seventy-seven billion, two hundred twenty-seven million, one hundred forty-four thousand, sixty-four".