19985413835520 has 2160 divisors, whose sum is σ = 89947934425440. Its totient is φ = 4071279034368.

The previous prime is 19985413835509. The next prime is 19985413835579. The reversal of 19985413835520 is 2553831458991.

19985413835520 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 5 + 41 + 38 + 3 + 552 + 0 = 666.

It is a super-2 number, since 2×19985413835520² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8934023842 + ... + 8934026078.

It is an arithmetic number, because the mean of its divisors is an integer number (41642562234).

Almost surely, 2^{19985413835520} is an apocalyptic number.

19985413835520 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 19985413835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44973967212720).

19985413835520 is an abundant number, since it is smaller than the sum of its proper divisors (69962520589920).

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

19985413835520 is a wasteful number, since it uses less digits than its factorization.

19985413835520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 19985413835520 in words is "nineteen trillion, nine hundred eighty-five billion, four hundred thirteen million, eight hundred thirty-five thousand, five hundred twenty".