19958964732 has 480 divisors, whose sum is σ = 66055700480. Its totient is φ = 5127027840.

The previous prime is 19958964719. The next prime is 19958964737. The reversal of 19958964732 is 23746985991.

19958964732 is a `hidden beast` number, since 1 + 9 + 9 + 589 + 6 + 47 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 19958964732.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19958964737) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89501973 + ... + 89502195.

Almost surely, 2^19958964732 is an apocalyptic number.

19958964732 is a gapful number since it is divisible by the number (12) 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 19958964732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33027850240).

19958964732 is an abundant number, since it is smaller than the sum of its proper divisors (46096735748).

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

19958964732 is a wasteful number, since it uses less digits than its factorization.

19958964732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 19958964732 in words is "nineteen billion, nine hundred fifty-eight million, nine hundred sixty-four thousand, seven hundred thirty-two".