19828217162880 has 1920 divisors, whose sum is σ = 86650650408960. Its totient is φ = 4302305280000.

The previous prime is 19828217162821. The next prime is 19828217162881. The reversal of 19828217162880 is 8826171282891.

19828217162880 is a `hidden beast` number, since 1 + 9 + 8 + 282 + 1 + 71 + 6 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (19828217162881) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4173480505 + ... + 4173485255.

It is an arithmetic number, because the mean of its divisors is an integer number (45130547088).

Almost surely, 2^{19828217162880} is an apocalyptic number.

19828217162880 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 19828217162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43325325204480).

19828217162880 is an abundant number, since it is smaller than the sum of its proper divisors (66822433246080).

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

19828217162880 is a wasteful number, since it uses less digits than its factorization.

19828217162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 19828217162880 in words is "nineteen trillion, eight hundred twenty-eight billion, two hundred seventeen million, one hundred sixty-two thousand, eight hundred eighty".