19217952000 has 1152 divisors, whose sum is σ = 80353728000. Its totient is φ = 4490035200.

The previous prime is 19217951989. The next prime is 19217952007. The reversal of 19217952000 is 25971291.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19217952007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325727971 + ... + 325728029.

It is an arithmetic number, because the mean of its divisors is an integer number (69751500).

Almost surely, 2^19217952000 is an apocalyptic number.

19217952000 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 19217952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176864000).

19217952000 is an abundant number, since it is smaller than the sum of its proper divisors (61135776000).

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

19217952000 is a wasteful number, since it uses less digits than its factorization.

19217952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 19217952000 in words is "nineteen billion, two hundred seventeen million, nine hundred fifty-two thousand".