19967650560 has 1728 divisors, whose sum is σ = 92567494656. Its totient is φ = 3892838400.

The previous prime is 19967650559. The next prime is 19967650561. The reversal of 19967650560 is 6505676991.

19967650560 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 76 + 5 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (19967650559) and next prime (19967650561).

It is a junction number, because it is equal to n+sod(n) for n = 19967650497 and 19967650506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19967650561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 644117745 + ... + 644117775.

It is an arithmetic number, because the mean of its divisors is an integer number (53569152).

Almost surely, 2^19967650560 is an apocalyptic number.

19967650560 is a gapful number since it is divisible by the number (10) 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 19967650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46283747328).

19967650560 is an abundant number, since it is smaller than the sum of its proper divisors (72599844096).

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

19967650560 is a wasteful number, since it uses less digits than its factorization.

19967650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 19967650560 in words is "nineteen billion, nine hundred sixty-seven million, six hundred fifty thousand, five hundred sixty".