19881355990320 has 640 divisors, whose sum is σ = 75373827194880. Its totient is φ = 4776699755520.

The previous prime is 19881355990313. The next prime is 19881355990337. The reversal of 19881355990320 is 2309955318891.

19881355990320 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 1 + 3 + 5 + 599 + 0 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3388672027 + ... + 3388677893.

It is an arithmetic number, because the mean of its divisors is an integer number (117771604992).

Almost surely, 2^{19881355990320} is an apocalyptic number.

19881355990320 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 19881355990320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37686913597440).

19881355990320 is an abundant number, since it is smaller than the sum of its proper divisors (55492471204560).

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

19881355990320 is a wasteful number, since it uses less digits than its factorization.

19881355990320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7150 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 19881355990320 in words is "nineteen trillion, eight hundred eighty-one billion, three hundred fifty-five million, nine hundred ninety thousand, three hundred twenty".