19958040960 has 512 divisors, whose sum is σ = 75376465920. Its totient is φ = 4428103680.

The previous prime is 19958040923. The next prime is 19958041039. The reversal of 19958040960 is 6904085991.

It is a super-2 number, since 2×19958040960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 43105689 + ... + 43106151.

It is an arithmetic number, because the mean of its divisors is an integer number (147219660).

Almost surely, 2^19958040960 is an apocalyptic number.

19958040960 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 19958040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37688232960).

19958040960 is an abundant number, since it is smaller than the sum of its proper divisors (55418424960).

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

19958040960 is a wasteful number, since it uses less digits than its factorization.

19958040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The spelling of 19958040960 in words is "nineteen billion, nine hundred fifty-eight million, forty thousand, nine hundred sixty".