19962430992 has 320 divisors, whose sum is σ = 67195699200. Its totient is φ = 5556418560.

The previous prime is 19962430967. The next prime is 19962431017. The reversal of 19962430992 is 29903426991.

19962430992 is a `hidden beast` number, since 1 + 9 + 9 + 624 + 3 + 0 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (19962430967) and next prime (19962431017).

It is a super-2 number, since 2×19962430992² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22658392 + ... + 22659272.

It is an arithmetic number, because the mean of its divisors is an integer number (209986560).

Almost surely, 2^19962430992 is an apocalyptic number.

19962430992 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 19962430992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33597849600).

19962430992 is an abundant number, since it is smaller than the sum of its proper divisors (47233268208).

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

19962430992 is a wasteful number, since it uses less digits than its factorization.

19962430992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 19962430992 in words is "nineteen billion, nine hundred sixty-two million, four hundred thirty thousand, nine hundred ninety-two".