19978533308160 has 1440 divisors, whose sum is σ = 84144966998400. Its totient is φ = 4430531395584.

The previous prime is 19978533308117. The next prime is 19978533308207. The reversal of 19978533308160 is 6180333587991.

19978533308160 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 8 + 533 + 30 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12057050052 + ... + 12057051708.

It is an arithmetic number, because the mean of its divisors is an integer number (58434004860).

Almost surely, 2^{19978533308160} is an apocalyptic number.

19978533308160 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 19978533308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42072483499200).

19978533308160 is an abundant number, since it is smaller than the sum of its proper divisors (64166433690240).

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

19978533308160 is a wasteful number, since it uses less digits than its factorization.

19978533308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 19978533308160 in words is "nineteen trillion, nine hundred seventy-eight billion, five hundred thirty-three million, three hundred eight thousand, one hundred sixty".