19928678400 has 768 divisors, whose sum is σ = 78988024800. Its totient is φ = 4907335680.

The previous prime is 19928678359. The next prime is 19928678431. The reversal of 19928678400 is 487682991.

19928678400 is a `hidden beast` number, since 1 + 9 + 92 + 86 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376012774 + ... + 376012826.

Almost surely, 2^19928678400 is an apocalyptic number.

19928678400 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 19928678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39494012400).

19928678400 is an abundant number, since it is smaller than the sum of its proper divisors (59059346400).

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

19928678400 is an equidigital number, since it uses as much as digits as its factorization.

19928678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 19928678400 in words is "nineteen billion, nine hundred twenty-eight million, six hundred seventy-eight thousand, four hundred".