19869040800 has 1008 divisors, whose sum is σ = 86341473792. Its totient is φ = 4367001600.

The previous prime is 19869040787. The next prime is 19869040813. The reversal of 19869040800 is 804096891.

It is an interprime number because it is at equal distance from previous prime (19869040787) and next prime (19869040813).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 126554322 + ... + 126554478.

It is an arithmetic number, because the mean of its divisors is an integer number (85656224).

Almost surely, 2^19869040800 is an apocalyptic number.

19869040800 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 19869040800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43170736896).

19869040800 is an abundant number, since it is smaller than the sum of its proper divisors (66472432992).

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

19869040800 is a wasteful number, since it uses less digits than its factorization.

19869040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 19869040800 in words is "nineteen billion, eight hundred sixty-nine million, forty thousand, eight hundred".