19961620890848 has 192 divisors, whose sum is σ = 49255765009920. Its totient is φ = 7752419407872.

The previous prime is 19961620890847. The next prime is 19961620890851. The reversal of 19961620890848 is 84809802616991.

It is a super-2 number, since 2×19961620890848² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19961620890847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125856011 + ... + 126014517.

It is an arithmetic number, because the mean of its divisors is an integer number (256540442760).

Almost surely, 2^{19961620890848} 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 19961620890848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24627882504960).

19961620890848 is an abundant number, since it is smaller than the sum of its proper divisors (29294144119072).

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

19961620890848 is a wasteful number, since it uses less digits than its factorization.

19961620890848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159329 (or 159321 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 71.

The spelling of 19961620890848 in words is "nineteen trillion, nine hundred sixty-one billion, six hundred twenty million, eight hundred ninety thousand, eight hundred forty-eight".