19855872000 has 624 divisors, whose sum is σ = 74418839040. Its totient is φ = 5087232000.

The previous prime is 19855871983. The next prime is 19855872013. The reversal of 19855872000 is 27855891.

It is a happy number.

19855872000 is a `hidden beast` number, since 1 + 98 + 558 + 7 + 2 + 0 + 0 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 142847931 + ... + 142848069.

It is an arithmetic number, because the mean of its divisors is an integer number (119260960).

Almost surely, 2^19855872000 is an apocalyptic number.

19855872000 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 19855872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209419520).

19855872000 is an abundant number, since it is smaller than the sum of its proper divisors (54562967040).

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

19855872000 is a wasteful number, since it uses less digits than its factorization.

19855872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 19855872000 in words is "nineteen billion, eight hundred fifty-five million, eight hundred seventy-two thousand".