19887676800 has 192 divisors, whose sum is σ = 68353839360. Its totient is φ = 5072742400.

The previous prime is 19887676793. The next prime is 19887676807. The reversal of 19887676800 is 867678891.

It is an interprime number because it is at equal distance from previous prime (19887676793) and next prime (19887676807).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19887676807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175765 + ... + 265835.

It is an arithmetic number, because the mean of its divisors is an integer number (356009580).

Almost surely, 2^19887676800 is an apocalyptic number.

19887676800 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 19887676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34176919680).

19887676800 is an abundant number, since it is smaller than the sum of its proper divisors (48466162560).

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

19887676800 is a wasteful number, since it uses less digits than its factorization.

19887676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90121 (or 90104 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 19887676800 in words is "nineteen billion, eight hundred eighty-seven million, six hundred seventy-six thousand, eight hundred".