19801547964 has 288 divisors, whose sum is σ = 59459452416. Its totient is φ = 5494832640.

The previous prime is 19801547921. The next prime is 19801547977. The reversal of 19801547964 is 46974510891.

19801547964 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 1 + 547 + 96 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19801547964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22578294 + ... + 22579170.

It is an arithmetic number, because the mean of its divisors is an integer number (206456432).

Almost surely, 2^19801547964 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 19801547964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29729726208).

19801547964 is an abundant number, since it is smaller than the sum of its proper divisors (39657904452).

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

19801547964 is a wasteful number, since it uses less digits than its factorization.

19801547964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

It can be divided in two parts, 19801 and 547964, that added together give a palindrome (567765).

The spelling of 19801547964 in words is "nineteen billion, eight hundred one million, five hundred forty-seven thousand, nine hundred sixty-four".