19678982400 has 2160 divisors, whose sum is σ = 99364890240. Its totient is φ = 3715891200.

The previous prime is 19678982399. The next prime is 19678982419. The reversal of 19678982400 is 428987691.

19678982400 is a `hidden beast` number, since 1 + 96 + 78 + 9 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 678585586 + ... + 678585614.

It is an arithmetic number, because the mean of its divisors is an integer number (46002264).

Almost surely, 2^19678982400 is an apocalyptic number.

19678982400 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 19678982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49682445120).

19678982400 is an abundant number, since it is smaller than the sum of its proper divisors (79685907840).

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

19678982400 is a wasteful number, since it uses less digits than its factorization.

19678982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 74 counting only the distinct ones).

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

The spelling of 19678982400 in words is "nineteen billion, six hundred seventy-eight million, nine hundred eighty-two thousand, four hundred".