19740777036560 has 80 divisors (see below), whose sum is σ = 46092618477360. Its totient is φ = 7862740254720.

The previous prime is 19740777036553. The next prime is 19740777036581. The reversal of 19740777036560 is 6563077704791.

It can be written as a sum of positive squares in 8 ways, for example, as 12205268908816 + 7535508127744 = 3493604^2 + 2745088^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 19740777036493 and 19740777036502.

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, 40062080 + ... + 40551840.

It is an arithmetic number, because the mean of its divisors is an integer number (576157730967).

Almost surely, 2^{19740777036560} is an apocalyptic number.

19740777036560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19740777036560 is an abundant number, since it is smaller than the sum of its proper divisors (26351841440800).

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

19740777036560 is a wasteful number, since it uses less digits than its factorization.

19740777036560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491916 (or 491910 counting only the distinct ones).

The product of its (nonzero) digits is 46675440, while the sum is 62.

The spelling of 19740777036560 in words is "nineteen trillion, seven hundred forty billion, seven hundred seventy-seven million, thirty-six thousand, five hundred sixty".