19428085923840 has 1632 divisors, whose sum is σ = 78196815994752. Its totient is φ = 4586471424000.

The previous prime is 19428085923809. The next prime is 19428085923859. The reversal of 19428085923840 is 4832958082491.

19428085923840 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 8 + 0 + 8 + 592 + 38 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35911433970 + ... + 35911434510.

Almost surely, 2^{19428085923840} is an apocalyptic number.

19428085923840 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 19428085923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39098407997376).

19428085923840 is an abundant number, since it is smaller than the sum of its proper divisors (58768730070912).

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

19428085923840 is an frugal number, since it uses more digits than its factorization.

19428085923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 19428085923840 in words is "nineteen trillion, four hundred twenty-eight billion, eighty-five million, nine hundred twenty-three thousand, eight hundred forty".