19828288050480 has 2880 divisors, whose sum is σ = 90023268142080. Its totient is φ = 3805015523328.

The previous prime is 19828288050407. The next prime is 19828288050583. The reversal of 19828288050480 is 8405088282891.

19828288050480 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 8 + 28 + 80 + 50 + 480 = 666.

It is a super-2 number, since 2×19828288050480² (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 575 ways as a sum of consecutive naturals, for example, 121645938879 + ... + 121645939041.

It is an arithmetic number, because the mean of its divisors is an integer number (31258079216).

Almost surely, 2^{19828288050480} is an apocalyptic number.

19828288050480 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 19828288050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45011634071040).

19828288050480 is an abundant number, since it is smaller than the sum of its proper divisors (70194980091600).

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

19828288050480 is a wasteful number, since it uses less digits than its factorization.

19828288050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 63.

The spelling of 19828288050480 in words is "nineteen trillion, eight hundred twenty-eight billion, two hundred eighty-eight million, fifty thousand, four hundred eighty".