19960357804800 has 1728 divisors, whose sum is σ = 81475925207040. Its totient is φ = 4200113111040.

The previous prime is 19960357804787. The next prime is 19960357804859. The reversal of 19960357804800 is 840875306991.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20944761124 + ... + 20944762076.

It is an arithmetic number, because the mean of its divisors is an integer number (47150419680).

Almost surely, 2^{19960357804800} is an apocalyptic number.

19960357804800 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 19960357804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40737962603520).

19960357804800 is an abundant number, since it is smaller than the sum of its proper divisors (61515567402240).

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

19960357804800 is a wasteful number, since it uses less digits than its factorization.

19960357804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 19960357804800 in words is "nineteen trillion, nine hundred sixty billion, three hundred fifty-seven million, eight hundred four thousand, eight hundred".